Fascinating Facts About Square Numbers

Ten Facts about Square Numbers by Jason Earls, author of Heartless Bastard In Ecstasy & Zombies of the Red Descent http://becomeguitaristfromhell.blogspot.com/ http://www.youtube.com/user/zevi35711 Square numbers. 12 = 1, 22 = 4, 32 = 9, 42 = 16, 52 = 25, 62 = 36 ... They are one of the most basic classes of numbers. Many people consider a geometric square to be a perfect shape with the most pleasing type of symmetry, which brings us to the reason numbers of the form n2 are called squares (sometimes ‘perfect squares’) in the first place – they have this simple yet elegant geometrical representation: * * * * * * * * * * * * * * * * * * * * 25 * * * * * ... * 1 * * * * 4 * * * * * * * * * 9 * * * * * * * * * * * * 16 * * * * Square numbers have been studied for hundreds of years and many intriguing facts about them have been discovered. Below are a few properties I think are among the best. 1. A pattern often listed in number theory books is this one involving the sum of odd numbers to produce perfect squares: 1 1 + 3 1 + 3 + 5 1 + 3 + 5 + 7 1 + 3 + 5 + 7 + 9 1 + 3 + 5 + 7 + 9 + 11 ... = 1 = 4 = 9 = 16 = 25 = 36 This pattern was first discovered by the Pythagoreans in ancient times and later appeared in Leonardo Fibonacci’s book, Liber quadratorum (Book of Squares) in 1225. It’s fairly easy to prove with induction and simple algebra that the pattern continues to hold, but I will omit the proof here for space (and technical) reasons. 2. A mathematician known only as Dr. Hutton published the first table of squares up to 25,400 in the year 1781. After learning of the table, mathematicians and amateurs gleaned many facts from it, such as the simple observation that squares always end in the digits 0, 1, 4, 5, 6, or 9. 3. If you square nine ones after they have been concatenated together, you will get this nice palindrome (which is a number reading the same way forward and backward): 1111111112 = 12345678987654321 4. A number that undulates is one that has a digital pattern of abababab... where its digits rise and fall in equal steps. For example, 282828 and 919191 are undulating numbers. The square 2642 = 69696 is the largest known undulating square. None larger has ever been found, even though squares with millions of digits have been tested with computers. However, if one considers numerical bases other than base-10, undulating squares can be found. One example is 2922 = 85264, which becomes 41414 when written in base-12. 5. A famous unsolved problem in number theory is whether or not there are any more solutions to x! + 1 = y2 other than x = 4, 5, and 7 (where x! is the factorial of x). For example, 4! + 1 = 25 = 52 5! + 1 = 121 = 112 7! + 1 = 5041 = 712 This is known as Brocard’s Problem and it has been checked via computer up to x = 109, with no other solutions ever found. 6. Curious mathematicians, programmers, and amateurs have also wondered if squares can be composed only of certain digits. Here is one employing only the digits 1, 4, and 9: 6480702115891070212 = 419994999149149944149149944191494441 7. Joseph Louis Lagrange proved in 1770 that every positive integer can be expressed as the sum of not more than 4 positive squares. For example, the prime 31 can be written as 31 = 52 + 22 + 12 + 12 8. Here are the two largest and smallest perfect squares that use all the digits from 0 to 9: 990662 = 9814072356 320432 = 1026753849 9. Joseph Madachy discovered these numbers that are equal to their halves squared when they are split apart in this fashion: 1233 = 122 + 332 8833 = 882 + 332 5882353 = 5882 + 23532 10. For our last fact we have a more advanced problem concerning squares which first appeared as a “challenge problem” posed in the journal, American Mathematical Monthly, in the year 1957. The problem was titled, “Conjecture on Reversals” and it involved squares along with reversing the digits of a number. To understand the problem, consider these products: 169 * 961 = 162409 = 4032 1089 * 9801 = 10673289 = 32672 Notice that we have multiplied 169 and 1089 by their reversals to get perfect squares. Also notice that both of the numbers that we multiplied, along with their reversals, are squares themselves: 132 = 169, 312 = 961, 332 = 1089, and 992 = 9801. The original conjecture published in the American Mathematical Monthly can be paraphrased as, ‘When a number and its reversal are not equal, only if both are perfect squares will their product also be a square.’ But running a computer search reveals this conjecture to be quite false. Here are just a few of the many counterexamples I found: 288, 528, 768, 825, 867, 882, 1584, 2178, 4851, 8712, 10989, 13104, 14544, 15984, 20808, 21978, 26208, 27648, 27848, 36828, 40131, 44541, 48139, 48951, 49686, 57399, 68694, 80262, 80802, 82863, 84672, 84872, 87912, 93184, 98901, 99375, 109989, ... For example, notice that 288 is not a perfect square: sqrt(288) = 16.97056... nor is its reversal: sqrt(882) = 29.69848..., also notice the number is not equal to its reversal, yet 288 * 882 = 254016 = 5042. So it seems squares are not so easily tamed after all! (The counterexamples above are listed as sequence A082994 in the Online Encyclopedia of Integer Sequences with myself as the author.) And there you have ten enthralling facts about square numbers. Feel free to list a few of them in the comments section of your next job application if you like! [Note that after my bio below, I have provided a few tables of various computations concerning squares which you may like to peruse at your leisure, so be sure to scroll down and have a look at them.] (Thanks for reading. If you now of any magazines that would like to publish this article, please contact the author: zevi_35711@yahoo.com. Also, you would be helping out the author greatly if you purchased one of his books from Amazon.com or another online book store of your choice. Thanks again.) http://becomeguitaristfromhell.blogspot.com/ http://zombiesofthereddescent.blogspot.com/ http://www.youtube.com/user/zevi35711 Bio: Jason Earls is the author of Cocoon of Terror (Afterbirth Books), Heartless Bastard In Ecstasy, How to Become a Guitar Player from Hell, Zombies of the Red Descent, If(Sid_Vicious == TRUE && Alan_Turing == TRUE) {ERROR_Cyberpunk(); }, Red Zen, and 0.136101521283655... all available at Amazon.com and other online book stores. His fiction and mathematical work have been published in Red Scream, Yankee Pot Roast, M-Brane SF, Scientia Magna, three of Clifford Pickover’s books, Mathworld.com, AlienSkin, Recreational and Educational Computing, Escaping Elsewhere, Neometropolis, Thirteen, Dogmatika, Prime Curios, the Online Encyclopedia of Integer Sequences, OG’s Speculative Fiction, Nocturnal Ooze, Bust Down the Door and Eat All the Chickens and other publications. He currently resides in Oklahoma with his wife, Christine. Computations (The following computations were made using the GP/PARI CALCULATOR Version 2.0.17 (beta), Windows NT ix86 (ix86 kernel) 32-bit version, Copyright (C) 1989-1999 by C. Batut, K. Belabas, D. Bernardi, H. Cohen and M. Olivier.) Table 1 Squares from 1 to 1000 1^2 = 1 2^2 = 4 3^2 = 9 4^2 = 16 5^2 = 25 6^2 = 36 7^2 = 49 8^2 = 64 9^2 = 81 10^2 = 100 11^2 = 121 12^2 = 144 13^2 = 169 14^2 = 196 15^2 = 225 16^2 = 256 17^2 = 289 18^2 = 324 19^2 = 361 20^2 = 400 21^2 = 441 22^2 = 484 23^2 = 529 24^2 = 576 25^2 = 625 26^2 = 676 27^2 = 729 28^2 = 784 29^2 = 841 30^2 = 900 31^2 = 961 32^2 = 1024 33^2 = 1089 34^2 = 1156 35^2 = 1225 36^2 = 1296 37^2 = 1369 38^2 = 1444 39^2 = 1521 40^2 = 1600 41^2 = 1681 42^2 = 1764 43^2 = 1849 44^2 = 1936 45^2 = 2025 46^2 = 2116 47^2 = 2209 48^2 = 2304 49^2 = 2401 50^2 = 2500 51^2 = 2601 52^2 = 2704 53^2 = 2809 54^2 = 2916 55^2 = 3025 56^2 = 3136 57^2 = 3249 58^2 = 3364 59^2 = 3481 60^2 = 3600 61^2 = 3721 62^2 = 3844 63^2 = 3969 64^2 = 4096 65^2 = 4225 66^2 = 4356 67^2 = 4489 68^2 = 4624 69^2 = 4761 70^2 = 4900 71^2 = 5041 72^2 = 5184 73^2 = 5329 74^2 = 5476 75^2 = 5625 76^2 = 5776 77^2 = 5929 78^2 = 6084 79^2 = 6241 80^2 = 6400 81^2 = 6561 82^2 = 6724 83^2 = 6889 84^2 = 7056 85^2 = 7225 86^2 = 7396 87^2 = 7569 88^2 = 7744 89^2 = 7921 90^2 = 8100 91^2 = 8281 92^2 = 8464 93^2 = 8649 94^2 = 8836 95^2 = 9025 96^2 = 9216 97^2 = 9409 98^2 = 9604 99^2 = 9801 100^2 = 10000 101^2 = 10201 102^2 = 10404 103^2 = 10609 104^2 = 10816 105^2 = 11025 106^2 = 11236 107^2 = 11449 108^2 = 11664 109^2 = 11881 110^2 = 12100 111^2 = 12321 112^2 = 12544 113^2 = 12769 114^2 = 12996 115^2 = 13225 116^2 = 13456 117^2 = 13689 118^2 = 13924 119^2 = 14161 120^2 = 14400 121^2 = 14641 122^2 = 14884 123^2 = 15129 124^2 = 15376 125^2 = 15625 126^2 = 15876 127^2 = 16129 128^2 = 16384 129^2 = 16641 130^2 = 16900 131^2 = 17161 132^2 = 17424 133^2 = 17689 134^2 = 17956 135^2 = 18225 136^2 = 18496 137^2 = 18769 138^2 = 19044 139^2 = 19321 140^2 = 19600 141^2 = 19881 142^2 = 20164 143^2 = 20449 144^2 = 20736 145^2 = 21025 146^2 = 21316 147^2 = 21609 148^2 = 21904 149^2 = 22201 150^2 = 22500 151^2 = 22801 152^2 = 23104 153^2 = 23409 154^2 = 23716 155^2 = 24025 156^2 = 24336 157^2 = 24649 158^2 = 24964 159^2 = 25281 160^2 = 25600 161^2 = 25921 162^2 = 26244 163^2 = 26569 164^2 = 26896 165^2 = 27225 166^2 = 27556 167^2 = 27889 168^2 = 28224 169^2 = 28561 170^2 = 28900 171^2 = 29241 172^2 = 29584 173^2 = 29929 174^2 = 30276 175^2 = 30625 176^2 = 30976 177^2 = 31329 178^2 = 31684 179^2 = 32041 180^2 = 32400 181^2 = 32761 182^2 = 33124 183^2 = 33489 184^2 = 33856 185^2 = 34225 186^2 = 34596 187^2 = 34969 188^2 = 35344 189^2 = 35721 190^2 = 36100 191^2 = 36481 192^2 = 36864 193^2 = 37249 194^2 = 37636 195^2 = 38025 196^2 = 38416 197^2 = 38809 198^2 = 39204 199^2 = 39601 200^2 = 40000 201^2 = 40401 202^2 = 40804 203^2 = 41209 204^2 = 41616 205^2 = 42025 206^2 = 42436 207^2 = 42849 208^2 = 43264 209^2 = 43681 210^2 = 44100 211^2 = 44521 212^2 = 44944 213^2 = 45369 214^2 = 45796 215^2 = 46225 216^2 = 46656 217^2 = 47089 218^2 = 47524 219^2 = 47961 220^2 = 48400 221^2 = 48841 222^2 = 49284 223^2 = 49729 224^2 = 50176 225^2 = 50625 226^2 = 51076 227^2 = 51529 228^2 = 51984 229^2 = 52441 230^2 = 52900 231^2 = 53361 232^2 = 53824 233^2 = 54289 234^2 = 54756 235^2 = 55225 236^2 = 55696 237^2 = 56169 238^2 = 56644 239^2 = 57121 240^2 = 57600 241^2 = 58081 242^2 = 58564 243^2 = 59049 244^2 = 59536 245^2 = 60025 246^2 = 60516 247^2 = 61009 248^2 = 61504 249^2 = 62001 250^2 = 62500 251^2 = 63001 252^2 = 63504 253^2 = 64009 254^2 = 64516 255^2 = 65025 256^2 = 65536 257^2 = 66049 258^2 = 66564 259^2 = 67081 260^2 = 67600 261^2 = 68121 262^2 = 68644 263^2 = 69169 264^2 = 69696 265^2 = 70225 266^2 = 70756 267^2 = 71289 268^2 = 71824 269^2 = 72361 270^2 = 72900 271^2 = 73441 272^2 = 73984 273^2 = 74529 274^2 = 75076 275^2 = 75625 276^2 = 76176 277^2 = 76729 278^2 = 77284 279^2 = 77841 280^2 = 78400 281^2 = 78961 282^2 = 79524 283^2 = 80089 284^2 = 80656 285^2 = 81225 286^2 = 81796 287^2 = 82369 288^2 = 82944 289^2 = 83521 290^2 = 84100 291^2 = 84681 292^2 = 85264 293^2 = 85849 294^2 = 86436 295^2 = 87025 296^2 = 87616 297^2 = 88209 298^2 = 88804 299^2 = 89401 300^2 = 90000 301^2 = 90601 302^2 = 91204 303^2 = 91809 304^2 = 92416 305^2 = 93025 306^2 = 93636 307^2 = 94249 308^2 = 94864 309^2 = 95481 310^2 = 96100 311^2 = 96721 312^2 = 97344 313^2 = 97969 314^2 = 98596 315^2 = 99225 316^2 = 99856 317^2 = 100489 318^2 = 101124 319^2 = 101761 320^2 = 102400 321^2 = 103041 322^2 = 103684 323^2 = 104329 324^2 = 104976 325^2 = 105625 326^2 = 106276 327^2 = 106929 328^2 = 107584 329^2 = 108241 330^2 = 108900 331^2 = 109561 332^2 = 110224 333^2 = 110889 334^2 = 111556 335^2 = 112225 336^2 = 112896 337^2 = 113569 338^2 = 114244 339^2 = 114921 340^2 = 115600 341^2 = 116281 342^2 = 116964 343^2 = 117649 344^2 = 118336 345^2 = 119025 346^2 = 119716 347^2 = 120409 348^2 = 121104 349^2 = 121801 350^2 = 122500 351^2 = 123201 352^2 = 123904 353^2 = 124609 354^2 = 125316 355^2 = 126025 356^2 = 126736 357^2 = 127449 358^2 = 128164 359^2 = 128881 360^2 = 129600 361^2 = 130321 362^2 = 131044 363^2 = 131769 364^2 = 132496 365^2 = 133225 366^2 = 133956 367^2 = 134689 368^2 = 135424 369^2 = 136161 370^2 = 136900 371^2 = 137641 372^2 = 138384 373^2 = 139129 374^2 = 139876 375^2 = 140625 376^2 = 141376 377^2 = 142129 378^2 = 142884 379^2 = 143641 380^2 = 144400 381^2 = 145161 382^2 = 145924 383^2 = 146689 384^2 = 147456 385^2 = 148225 386^2 = 148996 387^2 = 149769 388^2 = 150544 389^2 = 151321 390^2 = 152100 391^2 = 152881 392^2 = 153664 393^2 = 154449 394^2 = 155236 395^2 = 156025 396^2 = 156816 397^2 = 157609 398^2 = 158404 399^2 = 159201 400^2 = 160000 401^2 = 160801 402^2 = 161604 403^2 = 162409 404^2 = 163216 405^2 = 164025 406^2 = 164836 407^2 = 165649 408^2 = 166464 409^2 = 167281 410^2 = 168100 411^2 = 168921 412^2 = 169744 413^2 = 170569 414^2 = 171396 415^2 = 172225 416^2 = 173056 417^2 = 173889 418^2 = 174724 419^2 = 175561 420^2 = 176400 421^2 = 177241 422^2 = 178084 423^2 = 178929 424^2 = 179776 425^2 = 180625 426^2 = 181476 427^2 = 182329 428^2 = 183184 429^2 = 184041 430^2 = 184900 431^2 = 185761 432^2 = 186624 433^2 = 187489 434^2 = 188356 435^2 = 189225 436^2 = 190096 437^2 = 190969 438^2 = 191844 439^2 = 192721 440^2 = 193600 441^2 = 194481 442^2 = 195364 443^2 = 196249 444^2 = 197136 445^2 = 198025 446^2 = 198916 447^2 = 199809 448^2 = 200704 449^2 = 201601 450^2 = 202500 451^2 = 203401 452^2 = 204304 453^2 = 205209 454^2 = 206116 455^2 = 207025 456^2 = 207936 457^2 = 208849 458^2 = 209764 459^2 = 210681 460^2 = 211600 461^2 = 212521 462^2 = 213444 463^2 = 214369 464^2 = 215296 465^2 = 216225 466^2 = 217156 467^2 = 218089 468^2 = 219024 469^2 = 219961 470^2 = 220900 471^2 = 221841 472^2 = 222784 473^2 = 223729 474^2 = 224676 475^2 = 225625 476^2 = 226576 477^2 = 227529 478^2 = 228484 479^2 = 229441 480^2 = 230400 481^2 = 231361 482^2 = 232324 483^2 = 233289 484^2 = 234256 485^2 = 235225 486^2 = 236196 487^2 = 237169 488^2 = 238144 489^2 = 239121 490^2 = 240100 491^2 = 241081 492^2 = 242064 493^2 = 243049 494^2 = 244036 495^2 = 245025 496^2 = 246016 497^2 = 247009 498^2 = 248004 499^2 = 249001 500^2 = 250000 501^2 = 251001 502^2 = 252004 503^2 = 253009 504^2 = 254016 505^2 = 255025 506^2 = 256036 507^2 = 257049 508^2 = 258064 509^2 = 259081 510^2 = 260100 511^2 = 261121 512^2 = 262144 513^2 = 263169 514^2 = 264196 515^2 = 265225 516^2 = 266256 517^2 = 267289 518^2 = 268324 519^2 = 269361 520^2 = 270400 521^2 = 271441 522^2 = 272484 523^2 = 273529 524^2 = 274576 525^2 = 275625 526^2 = 276676 527^2 = 277729 528^2 = 278784 529^2 = 279841 530^2 = 280900 531^2 = 281961 532^2 = 283024 533^2 = 284089 534^2 = 285156 535^2 = 286225 536^2 = 287296 537^2 = 288369 538^2 = 289444 539^2 = 290521 540^2 = 291600 541^2 = 292681 542^2 = 293764 543^2 = 294849 544^2 = 295936 545^2 = 297025 546^2 = 298116 547^2 = 299209 548^2 = 300304 549^2 = 301401 550^2 = 302500 551^2 = 303601 552^2 = 304704 553^2 = 305809 554^2 = 306916 555^2 = 308025 556^2 = 309136 557^2 = 310249 558^2 = 311364 559^2 = 312481 560^2 = 313600 561^2 = 314721 562^2 = 315844 563^2 = 316969 564^2 = 318096 565^2 = 319225 566^2 = 320356 567^2 = 321489 568^2 = 322624 569^2 = 323761 570^2 = 324900 571^2 = 326041 572^2 = 327184 573^2 = 328329 574^2 = 329476 575^2 = 330625 576^2 = 331776 577^2 = 332929 578^2 = 334084 579^2 = 335241 580^2 = 336400 581^2 = 337561 582^2 = 338724 583^2 = 339889 584^2 = 341056 585^2 = 342225 586^2 = 343396 587^2 = 344569 588^2 = 345744 589^2 = 346921 590^2 = 348100 591^2 = 349281 592^2 = 350464 593^2 = 351649 594^2 = 352836 595^2 = 354025 596^2 = 355216 597^2 = 356409 598^2 = 357604 599^2 = 358801 600^2 = 360000 601^2 = 361201 602^2 = 362404 603^2 = 363609 604^2 = 364816 605^2 = 366025 606^2 = 367236 607^2 = 368449 608^2 = 369664 609^2 = 370881 610^2 = 372100 611^2 = 373321 612^2 = 374544 613^2 = 375769 614^2 = 376996 615^2 = 378225 616^2 = 379456 617^2 = 380689 618^2 = 381924 619^2 = 383161 620^2 = 384400 621^2 = 385641 622^2 = 386884 623^2 = 388129 624^2 = 389376 625^2 = 390625 626^2 = 391876 627^2 = 393129 628^2 = 394384 629^2 = 395641 630^2 = 396900 631^2 = 398161 632^2 = 399424 633^2 = 400689 634^2 = 401956 635^2 = 403225 636^2 = 404496 637^2 = 405769 638^2 = 407044 639^2 = 408321 640^2 = 409600 641^2 = 410881 642^2 = 412164 643^2 = 413449 644^2 = 414736 645^2 = 416025 646^2 = 417316 647^2 = 418609 648^2 = 419904 649^2 = 421201 650^2 = 422500 651^2 = 423801 652^2 = 425104 653^2 = 426409 654^2 = 427716 655^2 = 429025 656^2 = 430336 657^2 = 431649 658^2 = 432964 659^2 = 434281 660^2 = 435600 661^2 = 436921 662^2 = 438244 663^2 = 439569 664^2 = 440896 665^2 = 442225 666^2 = 443556 667^2 = 444889 668^2 = 446224 669^2 = 447561 670^2 = 448900 671^2 = 450241 672^2 = 451584 673^2 = 452929 674^2 = 454276 675^2 = 455625 676^2 = 456976 677^2 = 458329 678^2 = 459684 679^2 = 461041 680^2 = 462400 681^2 = 463761 682^2 = 465124 683^2 = 466489 684^2 = 467856 685^2 = 469225 686^2 = 470596 687^2 = 471969 688^2 = 473344 689^2 = 474721 690^2 = 476100 691^2 = 477481 692^2 = 478864 693^2 = 480249 694^2 = 481636 695^2 = 483025 696^2 = 484416 697^2 = 485809 698^2 = 487204 699^2 = 488601 700^2 = 490000 701^2 = 491401 702^2 = 492804 703^2 = 494209 704^2 = 495616 705^2 = 497025 706^2 = 498436 707^2 = 499849 708^2 = 501264 709^2 = 502681 710^2 = 504100 711^2 = 505521 712^2 = 506944 713^2 = 508369 714^2 = 509796 715^2 = 511225 716^2 = 512656 717^2 = 514089 718^2 = 515524 719^2 = 516961 720^2 = 518400 721^2 = 519841 722^2 = 521284 723^2 = 522729 724^2 = 524176 725^2 = 525625 726^2 = 527076 727^2 = 528529 728^2 = 529984 729^2 = 531441 730^2 = 532900 731^2 = 534361 732^2 = 535824 733^2 = 537289 734^2 = 538756 735^2 = 540225 736^2 = 541696 737^2 = 543169 738^2 = 544644 739^2 = 546121 740^2 = 547600 741^2 = 549081 742^2 = 550564 743^2 = 552049 744^2 = 553536 745^2 = 555025 746^2 = 556516 747^2 = 558009 748^2 = 559504 749^2 = 561001 750^2 = 562500 751^2 = 564001 752^2 = 565504 753^2 = 567009 754^2 = 568516 755^2 = 570025 756^2 = 571536 757^2 = 573049 758^2 = 574564 759^2 = 576081 760^2 = 577600 761^2 = 579121 762^2 = 580644 763^2 = 582169 764^2 = 583696 765^2 = 585225 766^2 = 586756 767^2 = 588289 768^2 = 589824 769^2 = 591361 770^2 = 592900 771^2 = 594441 772^2 = 595984 773^2 = 597529 774^2 = 599076 775^2 = 600625 776^2 = 602176 777^2 = 603729 778^2 = 605284 779^2 = 606841 780^2 = 608400 781^2 = 609961 782^2 = 611524 783^2 = 613089 784^2 = 614656 785^2 = 616225 786^2 = 617796 787^2 = 619369 788^2 = 620944 789^2 = 622521 790^2 = 624100 791^2 = 625681 792^2 = 627264 793^2 = 628849 794^2 = 630436 795^2 = 632025 796^2 = 633616 797^2 = 635209 798^2 = 636804 799^2 = 638401 800^2 = 640000 801^2 = 641601 802^2 = 643204 803^2 = 644809 804^2 = 646416 805^2 = 648025 806^2 = 649636 807^2 = 651249 808^2 = 652864 809^2 = 654481 810^2 = 656100 811^2 = 657721 812^2 = 659344 813^2 = 660969 814^2 = 662596 815^2 = 664225 816^2 = 665856 817^2 = 667489 818^2 = 669124 819^2 = 670761 820^2 = 672400 821^2 = 674041 822^2 = 675684 823^2 = 677329 824^2 = 678976 825^2 = 680625 826^2 = 682276 827^2 = 683929 828^2 = 685584 829^2 = 687241 830^2 = 688900 831^2 = 690561 832^2 = 692224 833^2 = 693889 834^2 = 695556 835^2 = 697225 836^2 = 698896 837^2 = 700569 838^2 = 702244 839^2 = 703921 840^2 = 705600 841^2 = 707281 842^2 = 708964 843^2 = 710649 844^2 = 712336 845^2 = 714025 846^2 = 715716 847^2 = 717409 848^2 = 719104 849^2 = 720801 850^2 = 722500 851^2 = 724201 852^2 = 725904 853^2 = 727609 854^2 = 729316 855^2 = 731025 856^2 = 732736 857^2 = 734449 858^2 = 736164 859^2 = 737881 860^2 = 739600 861^2 = 741321 862^2 = 743044 863^2 = 744769 864^2 = 746496 865^2 = 748225 866^2 = 749956 867^2 = 751689 868^2 = 753424 869^2 = 755161 870^2 = 756900 871^2 = 758641 872^2 = 760384 873^2 = 762129 874^2 = 763876 875^2 = 765625 876^2 = 767376 877^2 = 769129 878^2 = 770884 879^2 = 772641 880^2 = 774400 881^2 = 776161 882^2 = 777924 883^2 = 779689 884^2 = 781456 885^2 = 783225 886^2 = 784996 887^2 = 786769 888^2 = 788544 889^2 = 790321 890^2 = 792100 891^2 = 793881 892^2 = 795664 893^2 = 797449 894^2 = 799236 895^2 = 801025 896^2 = 802816 897^2 = 804609 898^2 = 806404 899^2 = 808201 900^2 = 810000 901^2 = 811801 902^2 = 813604 903^2 = 815409 904^2 = 817216 905^2 = 819025 906^2 = 820836 907^2 = 822649 908^2 = 824464 909^2 = 826281 910^2 = 828100 911^2 = 829921 912^2 = 831744 913^2 = 833569 914^2 = 835396 915^2 = 837225 916^2 = 839056 917^2 = 840889 918^2 = 842724 919^2 = 844561 920^2 = 846400 921^2 = 848241 922^2 = 850084 923^2 = 851929 924^2 = 853776 925^2 = 855625 926^2 = 857476 927^2 = 859329 928^2 = 861184 929^2 = 863041 930^2 = 864900 931^2 = 866761 932^2 = 868624 933^2 = 870489 934^2 = 872356 935^2 = 874225 936^2 = 876096 937^2 = 877969 938^2 = 879844 939^2 = 881721 940^2 = 883600 941^2 = 885481 942^2 = 887364 943^2 = 889249 944^2 = 891136 945^2 = 893025 946^2 = 894916 947^2 = 896809 948^2 = 898704 949^2 = 900601 950^2 = 902500 951^2 = 904401 952^2 = 906304 953^2 = 908209 954^2 = 910116 955^2 = 912025 956^2 = 913936 957^2 = 915849 958^2 = 917764 959^2 = 919681 960^2 = 921600 961^2 = 923521 962^2 = 925444 963^2 = 927369 964^2 = 929296 965^2 = 931225 966^2 = 933156 967^2 = 935089 968^2 = 937024 969^2 = 938961 970^2 = 940900 971^2 = 942841 972^2 = 944784 973^2 = 946729 974^2 = 948676 975^2 = 950625 976^2 = 952576 977^2 = 954529 978^2 = 956484 979^2 = 958441 980^2 = 960400 981^2 = 962361 982^2 = 964324 983^2 = 966289 984^2 = 968256 985^2 = 970225 986^2 = 972196 987^2 = 974169 988^2 = 976144 989^2 = 978121 990^2 = 980100 991^2 = 982081 992^2 = 984064 993^2 = 986049 994^2 = 988036 995^2 = 990025 996^2 = 992016 997^2 = 994009 998^2 = 996004 999^2 = 998001 1000^2 = 1000000 Table 2 Squares of Multiples of 5 (Note: Multiples of five can be easily squared by taking the first digit of the number and multiplying it by the next consecutive number, then adding 25 to the end. For example, to square 35, take the first digit 3 and multiply it by the next consecutive number 4 and concatenate your answer with 25 and you’re finished: 3*4=12 and 1225 is the square of 35. The data below makes this fact more apparent.) 1*2=2 and 15^2 = 225 2*3=6 and 25^2 = 625 3*4=12 and 35^2 = 1225 4*5=20 and 45^2 = 2025 5*6=30 and 55^2 = 3025 6*7=42 and 65^2 = 4225 7*8=56 and 75^2 = 5625 8*9=72 and 85^2 = 7225 9*10=90 and 95^2 = 9025 10*11=110 and 105^2 = 11025 11*12=132 and 115^2 = 13225 12*13=156 and 125^2 = 15625 13*14=182 and 135^2 = 18225 14*15=210 and 145^2 = 21025 15*16=240 and 155^2 = 24025 16*17=272 and 165^2 = 27225 17*18=306 and 175^2 = 30625 18*19=342 and 185^2 = 34225 19*20=380 and 195^2 = 38025 20*21=420 and 205^2 = 42025 21*22=462 and 215^2 = 46225 22*23=506 and 225^2 = 50625 23*24=552 and 235^2 = 55225 24*25=600 and 245^2 = 60025 25*26=650 and 255^2 = 65025 26*27=702 and 265^2 = 70225 27*28=756 and 275^2 = 75625 28*29=812 and 285^2 = 81225 29*30=870 and 295^2 = 87025 30*31=930 and 305^2 = 93025 31*32=992 and 315^2 = 99225 32*33=1056 and 325^2 = 105625 33*34=1122 and 335^2 = 112225 34*35=1190 and 345^2 = 119025 35*36=1260 and 355^2 = 126025 36*37=1332 and 365^2 = 133225 37*38=1406 and 375^2 = 140625 38*39=1482 and 385^2 = 148225 39*40=1560 and 395^2 = 156025 40*41=1640 and 405^2 = 164025 41*42=1722 and 415^2 = 172225 42*43=1806 and 425^2 = 180625 43*44=1892 and 435^2 = 189225 44*45=1980 and 445^2 = 198025 45*46=2070 and 455^2 = 207025 46*47=2162 and 465^2 = 216225 47*48=2256 and 475^2 = 225625 48*49=2352 and 485^2 = 235225 49*50=2450 and 495^2 = 245025 50*51=2550 and 505^2 = 255025 51*52=2652 and 515^2 = 265225 52*53=2756 and 525^2 = 275625 53*54=2862 and 535^2 = 286225 54*55=2970 and 545^2 = 297025 55*56=3080 and 555^2 = 308025 56*57=3192 and 565^2 = 319225 57*58=3306 and 575^2 = 330625 58*59=3422 and 585^2 = 342225 59*60=3540 and 595^2 = 354025 60*61=3660 and 605^2 = 366025 61*62=3782 and 615^2 = 378225 62*63=3906 and 625^2 = 390625 63*64=4032 and 635^2 = 403225 64*65=4160 and 645^2 = 416025 65*66=4290 and 655^2 = 429025 66*67=4422 and 665^2 = 442225 67*68=4556 and 675^2 = 455625 68*69=4692 and 685^2 = 469225 69*70=4830 and 695^2 = 483025 70*71=4970 and 705^2 = 497025 71*72=5112 and 715^2 = 511225 72*73=5256 and 725^2 = 525625 73*74=5402 and 735^2 = 540225 74*75=5550 and 745^2 = 555025 75*76=5700 and 755^2 = 570025 76*77=5852 and 765^2 = 585225 77*78=6006 and 775^2 = 600625 78*79=6162 and 785^2 = 616225 79*80=6320 and 795^2 = 632025 80*81=6480 and 805^2 = 648025 81*82=6642 and 815^2 = 664225 82*83=6806 and 825^2 = 680625 83*84=6972 and 835^2 = 697225 84*85=7140 and 845^2 = 714025 85*86=7310 and 855^2 = 731025 86*87=7482 and 865^2 = 748225 87*88=7656 and 875^2 = 765625 88*89=7832 and 885^2 = 783225 89*90=8010 and 895^2 = 801025 90*91=8190 and 905^2 = 819025 91*92=8372 and 915^2 = 837225 92*93=8556 and 925^2 = 855625 93*94=8742 and 935^2 = 874225 94*95=8930 and 945^2 = 893025 95*96=9120 and 955^2 = 912025 96*97=9312 and 965^2 = 931225 97*98=9506 and 975^2 = 950625 98*99=9702 and 985^2 = 970225 99*100=9900 and 995^2 = 990025 100*101=10100 and 1005^2 = 1010025 101*102=10302 and 1015^2 = 1030225 102*103=10506 and 1025^2 = 1050625 103*104=10712 and 1035^2 = 1071225 104*105=10920 and 1045^2 = 1092025 105*106=11130 and 1055^2 = 1113025 106*107=11342 and 1065^2 = 1134225 107*108=11556 and 1075^2 = 1155625 108*109=11772 and 1085^2 = 1177225 109*110=11990 and 1095^2 = 1199025 110*111=12210 and 1105^2 = 1221025 111*112=12432 and 1115^2 = 1243225 112*113=12656 and 1125^2 = 1265625 113*114=12882 and 1135^2 = 1288225 114*115=13110 and 1145^2 = 1311025 115*116=13340 and 1155^2 = 1334025 116*117=13572 and 1165^2 = 1357225 117*118=13806 and 1175^2 = 1380625 118*119=14042 and 1185^2 = 1404225 119*120=14280 and 1195^2 = 1428025 120*121=14520 and 1205^2 = 1452025 121*122=14762 and 1215^2 = 1476225 122*123=15006 and 1225^2 = 1500625 123*124=15252 and 1235^2 = 1525225 124*125=15500 and 1245^2 = 1550025 125*126=15750 and 1255^2 = 1575025 126*127=16002 and 1265^2 = 1600225 127*128=16256 and 1275^2 = 1625625 128*129=16512 and 1285^2 = 1651225 129*130=16770 and 1295^2 = 1677025 130*131=17030 and 1305^2 = 1703025 131*132=17292 and 1315^2 = 1729225 132*133=17556 and 1325^2 = 1755625 133*134=17822 and 1335^2 = 1782225 134*135=18090 and 1345^2 = 1809025 135*136=18360 and 1355^2 = 1836025 136*137=18632 and 1365^2 = 1863225 137*138=18906 and 1375^2 = 1890625 138*139=19182 and 1385^2 = 1918225 139*140=19460 and 1395^2 = 1946025 140*141=19740 and 1405^2 = 1974025 141*142=20022 and 1415^2 = 2002225 142*143=20306 and 1425^2 = 2030625 143*144=20592 and 1435^2 = 2059225 144*145=20880 and 1445^2 = 2088025 145*146=21170 and 1455^2 = 2117025 146*147=21462 and 1465^2 = 2146225 147*148=21756 and 1475^2 = 2175625 148*149=22052 and 1485^2 = 2205225 149*150=22350 and 1495^2 = 2235025 150*151=22650 and 1505^2 = 2265025 151*152=22952 and 1515^2 = 2295225 152*153=23256 and 1525^2 = 2325625 153*154=23562 and 1535^2 = 2356225 154*155=23870 and 1545^2 = 2387025 155*156=24180 and 1555^2 = 2418025 156*157=24492 and 1565^2 = 2449225 157*158=24806 and 1575^2 = 2480625 158*159=25122 and 1585^2 = 2512225 159*160=25440 and 1595^2 = 2544025 160*161=25760 and 1605^2 = 2576025 161*162=26082 and 1615^2 = 2608225 162*163=26406 and 1625^2 = 2640625 163*164=26732 and 1635^2 = 2673225 164*165=27060 and 1645^2 = 2706025 165*166=27390 and 1655^2 = 2739025 166*167=27722 and 1665^2 = 2772225 167*168=28056 and 1675^2 = 2805625 168*169=28392 and 1685^2 = 2839225 169*170=28730 and 1695^2 = 2873025 170*171=29070 and 1705^2 = 2907025 171*172=29412 and 1715^2 = 2941225 172*173=29756 and 1725^2 = 2975625 173*174=30102 and 1735^2 = 3010225 174*175=30450 and 1745^2 = 3045025 175*176=30800 and 1755^2 = 3080025 176*177=31152 and 1765^2 = 3115225 177*178=31506 and 1775^2 = 3150625 178*179=31862 and 1785^2 = 3186225 179*180=32220 and 1795^2 = 3222025 180*181=32580 and 1805^2 = 3258025 181*182=32942 and 1815^2 = 3294225 182*183=33306 and 1825^2 = 3330625 183*184=33672 and 1835^2 = 3367225 184*185=34040 and 1845^2 = 3404025 185*186=34410 and 1855^2 = 3441025 186*187=34782 and 1865^2 = 3478225 187*188=35156 and 1875^2 = 3515625 188*189=35532 and 1885^2 = 3553225 189*190=35910 and 1895^2 = 3591025 190*191=36290 and 1905^2 = 3629025 191*192=36672 and 1915^2 = 3667225 192*193=37056 and 1925^2 = 3705625 193*194=37442 and 1935^2 = 3744225 194*195=37830 and 1945^2 = 3783025 195*196=38220 and 1955^2 = 3822025 196*197=38612 and 1965^2 = 3861225 197*198=39006 and 1975^2 = 3900625 198*199=39402 and 1985^2 = 3940225 199*200=39800 and 1995^2 = 3980025 200*201=40200 and 2005^2 = 4020025 201*202=40602 and 2015^2 = 4060225 202*203=41006 and 2025^2 = 4100625 203*204=41412 and 2035^2 = 4141225 204*205=41820 and 2045^2 = 4182025 205*206=42230 and 2055^2 = 4223025 206*207=42642 and 2065^2 = 4264225 207*208=43056 and 2075^2 = 4305625 208*209=43472 and 2085^2 = 4347225 209*210=43890 and 2095^2 = 4389025 210*211=44310 and 2105^2 = 4431025 211*212=44732 and 2115^2 = 4473225 212*213=45156 and 2125^2 = 4515625 213*214=45582 and 2135^2 = 4558225 214*215=46010 and 2145^2 = 4601025 215*216=46440 and 2155^2 = 4644025 216*217=46872 and 2165^2 = 4687225 217*218=47306 and 2175^2 = 4730625 218*219=47742 and 2185^2 = 4774225 219*220=48180 and 2195^2 = 4818025 220*221=48620 and 2205^2 = 4862025 221*222=49062 and 2215^2 = 4906225 222*223=49506 and 2225^2 = 4950625 223*224=49952 and 2235^2 = 4995225 224*225=50400 and 2245^2 = 5040025 225*226=50850 and 2255^2 = 5085025 226*227=51302 and 2265^2 = 5130225 227*228=51756 and 2275^2 = 5175625 228*229=52212 and 2285^2 = 5221225 229*230=52670 and 2295^2 = 5267025 230*231=53130 and 2305^2 = 5313025 231*232=53592 and 2315^2 = 5359225 232*233=54056 and 2325^2 = 5405625 233*234=54522 and 2335^2 = 5452225 234*235=54990 and 2345^2 = 5499025 235*236=55460 and 2355^2 = 5546025 236*237=55932 and 2365^2 = 5593225 237*238=56406 and 2375^2 = 5640625 238*239=56882 and 2385^2 = 5688225 239*240=57360 and 2395^2 = 5736025 240*241=57840 and 2405^2 = 5784025 241*242=58322 and 2415^2 = 5832225 242*243=58806 and 2425^2 = 5880625 243*244=59292 and 2435^2 = 5929225 244*245=59780 and 2445^2 = 5978025 245*246=60270 and 2455^2 = 6027025 246*247=60762 and 2465^2 = 6076225 247*248=61256 and 2475^2 = 6125625 248*249=61752 and 2485^2 = 6175225 249*250=62250 and 2495^2 = 6225025 250*251=62750 and 2505^2 = 6275025 251*252=63252 and 2515^2 = 6325225 252*253=63756 and 2525^2 = 6375625 253*254=64262 and 2535^2 = 6426225 254*255=64770 and 2545^2 = 6477025 255*256=65280 and 2555^2 = 6528025 256*257=65792 and 2565^2 = 6579225 257*258=66306 and 2575^2 = 6630625 258*259=66822 and 2585^2 = 6682225 259*260=67340 and 2595^2 = 6734025 260*261=67860 and 2605^2 = 6786025 261*262=68382 and 2615^2 = 6838225 262*263=68906 and 2625^2 = 6890625 263*264=69432 and 2635^2 = 6943225 264*265=69960 and 2645^2 = 6996025 265*266=70490 and 2655^2 = 7049025 266*267=71022 and 2665^2 = 7102225 267*268=71556 and 2675^2 = 7155625 268*269=72092 and 2685^2 = 7209225 269*270=72630 and 2695^2 = 7263025 270*271=73170 and 2705^2 = 7317025 271*272=73712 and 2715^2 = 7371225 272*273=74256 and 2725^2 = 7425625 273*274=74802 and 2735^2 = 7480225 274*275=75350 and 2745^2 = 7535025 275*276=75900 and 2755^2 = 7590025 276*277=76452 and 2765^2 = 7645225 277*278=77006 and 2775^2 = 7700625 278*279=77562 and 2785^2 = 7756225 279*280=78120 and 2795^2 = 7812025 280*281=78680 and 2805^2 = 7868025 281*282=79242 and 2815^2 = 7924225 282*283=79806 and 2825^2 = 7980625 283*284=80372 and 2835^2 = 8037225 284*285=80940 and 2845^2 = 8094025 285*286=81510 and 2855^2 = 8151025 286*287=82082 and 2865^2 = 8208225 287*288=82656 and 2875^2 = 8265625 288*289=83232 and 2885^2 = 8323225 289*290=83810 and 2895^2 = 8381025 290*291=84390 and 2905^2 = 8439025 291*292=84972 and 2915^2 = 8497225 292*293=85556 and 2925^2 = 8555625 293*294=86142 and 2935^2 = 8614225 294*295=86730 and 2945^2 = 8673025 295*296=87320 and 2955^2 = 8732025 296*297=87912 and 2965^2 = 8791225 297*298=88506 and 2975^2 = 8850625 298*299=89102 and 2985^2 = 8910225 299*300=89700 and 2995^2 = 8970025 300*301=90300 and 3005^2 = 9030025 301*302=90902 and 3015^2 = 9090225 302*303=91506 and 3025^2 = 9150625 303*304=92112 and 3035^2 = 9211225 304*305=92720 and 3045^2 = 9272025 305*306=93330 and 3055^2 = 9333025 306*307=93942 and 3065^2 = 9394225 307*308=94556 and 3075^2 = 9455625 308*309=95172 and 3085^2 = 9517225 309*310=95790 and 3095^2 = 9579025 310*311=96410 and 3105^2 = 9641025 311*312=97032 and 3115^2 = 9703225 312*313=97656 and 3125^2 = 9765625 313*314=98282 and 3135^2 = 9828225 314*315=98910 and 3145^2 = 9891025 315*316=99540 and 3155^2 = 9954025 316*317=100172 and 3165^2 = 10017225 317*318=100806 and 3175^2 = 10080625 318*319=101442 and 3185^2 = 10144225 319*320=102080 and 3195^2 = 10208025 320*321=102720 and 3205^2 = 10272025 321*322=103362 and 3215^2 = 10336225 322*323=104006 and 3225^2 = 10400625 323*324=104652 and 3235^2 = 10465225 324*325=105300 and 3245^2 = 10530025 325*326=105950 and 3255^2 = 10595025 326*327=106602 and 3265^2 = 10660225 327*328=107256 and 3275^2 = 10725625 328*329=107912 and 3285^2 = 10791225 329*330=108570 and 3295^2 = 10857025 330*331=109230 and 3305^2 = 10923025 331*332=109892 and 3315^2 = 10989225 332*333=110556 and 3325^2 = 11055625 333*334=111222 and 3335^2 = 11122225 334*335=111890 and 3345^2 = 11189025 335*336=112560 and 3355^2 = 11256025 336*337=113232 and 3365^2 = 11323225 337*338=113906 and 3375^2 = 11390625 338*339=114582 and 3385^2 = 11458225 339*340=115260 and 3395^2 = 11526025 340*341=115940 and 3405^2 = 11594025 341*342=116622 and 3415^2 = 11662225 342*343=117306 and 3425^2 = 11730625 343*344=117992 and 3435^2 = 11799225 344*345=118680 and 3445^2 = 11868025 345*346=119370 and 3455^2 = 11937025 346*347=120062 and 3465^2 = 12006225 347*348=120756 and 3475^2 = 12075625 348*349=121452 and 3485^2 = 12145225 349*350=122150 and 3495^2 = 12215025 350*351=122850 and 3505^2 = 12285025 351*352=123552 and 3515^2 = 12355225 352*353=124256 and 3525^2 = 12425625 353*354=124962 and 3535^2 = 12496225 354*355=125670 and 3545^2 = 12567025 355*356=126380 and 3555^2 = 12638025 356*357=127092 and 3565^2 = 12709225 357*358=127806 and 3575^2 = 12780625 358*359=128522 and 3585^2 = 12852225 359*360=129240 and 3595^2 = 12924025 360*361=129960 and 3605^2 = 12996025 361*362=130682 and 3615^2 = 13068225 362*363=131406 and 3625^2 = 13140625 363*364=132132 and 3635^2 = 13213225 364*365=132860 and 3645^2 = 13286025 365*366=133590 and 3655^2 = 13359025 366*367=134322 and 3665^2 = 13432225 367*368=135056 and 3675^2 = 13505625 368*369=135792 and 3685^2 = 13579225 369*370=136530 and 3695^2 = 13653025 370*371=137270 and 3705^2 = 13727025 371*372=138012 and 3715^2 = 13801225 372*373=138756 and 3725^2 = 13875625 373*374=139502 and 3735^2 = 13950225 374*375=140250 and 3745^2 = 14025025 375*376=141000 and 3755^2 = 14100025 376*377=141752 and 3765^2 = 14175225 377*378=142506 and 3775^2 = 14250625 378*379=143262 and 3785^2 = 14326225 379*380=144020 and 3795^2 = 14402025 380*381=144780 and 3805^2 = 14478025 381*382=145542 and 3815^2 = 14554225 382*383=146306 and 3825^2 = 14630625 383*384=147072 and 3835^2 = 14707225 384*385=147840 and 3845^2 = 14784025 385*386=148610 and 3855^2 = 14861025 386*387=149382 and 3865^2 = 14938225 387*388=150156 and 3875^2 = 15015625 388*389=150932 and 3885^2 = 15093225 389*390=151710 and 3895^2 = 15171025 390*391=152490 and 3905^2 = 15249025 391*392=153272 and 3915^2 = 15327225 392*393=154056 and 3925^2 = 15405625 393*394=154842 and 3935^2 = 15484225 394*395=155630 and 3945^2 = 15563025 395*396=156420 and 3955^2 = 15642025 396*397=157212 and 3965^2 = 15721225 397*398=158006 and 3975^2 = 15800625 398*399=158802 and 3985^2 = 15880225 399*400=159600 and 3995^2 = 15960025 400*401=160400 and 4005^2 = 16040025 401*402=161202 and 4015^2 = 16120225 402*403=162006 and 4025^2 = 16200625 403*404=162812 and 4035^2 = 16281225 404*405=163620 and 4045^2 = 16362025 405*406=164430 and 4055^2 = 16443025 406*407=165242 and 4065^2 = 16524225 407*408=166056 and 4075^2 = 16605625 408*409=166872 and 4085^2 = 16687225 409*410=167690 and 4095^2 = 16769025 410*411=168510 and 4105^2 = 16851025 411*412=169332 and 4115^2 = 16933225 412*413=170156 and 4125^2 = 17015625 413*414=170982 and 4135^2 = 17098225 414*415=171810 and 4145^2 = 17181025 415*416=172640 and 4155^2 = 17264025 416*417=173472 and 4165^2 = 17347225 417*418=174306 and 4175^2 = 17430625 418*419=175142 and 4185^2 = 17514225 419*420=175980 and 4195^2 = 17598025 420*421=176820 and 4205^2 = 17682025 421*422=177662 and 4215^2 = 17766225 422*423=178506 and 4225^2 = 17850625 423*424=179352 and 4235^2 = 17935225 424*425=180200 and 4245^2 = 18020025 425*426=181050 and 4255^2 = 18105025 426*427=181902 and 4265^2 = 18190225 427*428=182756 and 4275^2 = 18275625 428*429=183612 and 4285^2 = 18361225 429*430=184470 and 4295^2 = 18447025 430*431=185330 and 4305^2 = 18533025 431*432=186192 and 4315^2 = 18619225 432*433=187056 and 4325^2 = 18705625 433*434=187922 and 4335^2 = 18792225 434*435=188790 and 4345^2 = 18879025 435*436=189660 and 4355^2 = 18966025 436*437=190532 and 4365^2 = 19053225 437*438=191406 and 4375^2 = 19140625 438*439=192282 and 4385^2 = 19228225 439*440=193160 and 4395^2 = 19316025 440*441=194040 and 4405^2 = 19404025 441*442=194922 and 4415^2 = 19492225 442*443=195806 and 4425^2 = 19580625 443*444=196692 and 4435^2 = 19669225 444*445=197580 and 4445^2 = 19758025 445*446=198470 and 4455^2 = 19847025 446*447=199362 and 4465^2 = 19936225 447*448=200256 and 4475^2 = 20025625 448*449=201152 and 4485^2 = 20115225 449*450=202050 and 4495^2 = 20205025 450*451=202950 and 4505^2 = 20295025 451*452=203852 and 4515^2 = 20385225 452*453=204756 and 4525^2 = 20475625 453*454=205662 and 4535^2 = 20566225 454*455=206570 and 4545^2 = 20657025 455*456=207480 and 4555^2 = 20748025 456*457=208392 and 4565^2 = 20839225 457*458=209306 and 4575^2 = 20930625 458*459=210222 and 4585^2 = 21022225 459*460=211140 and 4595^2 = 21114025 460*461=212060 and 4605^2 = 21206025 461*462=212982 and 4615^2 = 21298225 462*463=213906 and 4625^2 = 21390625 463*464=214832 and 4635^2 = 21483225 464*465=215760 and 4645^2 = 21576025 465*466=216690 and 4655^2 = 21669025 466*467=217622 and 4665^2 = 21762225 467*468=218556 and 4675^2 = 21855625 468*469=219492 and 4685^2 = 21949225 469*470=220430 and 4695^2 = 22043025 470*471=221370 and 4705^2 = 22137025 471*472=222312 and 4715^2 = 22231225 472*473=223256 and 4725^2 = 22325625 473*474=224202 and 4735^2 = 22420225 474*475=225150 and 4745^2 = 22515025 475*476=226100 and 4755^2 = 22610025 476*477=227052 and 4765^2 = 22705225 477*478=228006 and 4775^2 = 22800625 478*479=228962 and 4785^2 = 22896225 479*480=229920 and 4795^2 = 22992025 480*481=230880 and 4805^2 = 23088025 481*482=231842 and 4815^2 = 23184225 482*483=232806 and 4825^2 = 23280625 483*484=233772 and 4835^2 = 23377225 484*485=234740 and 4845^2 = 23474025 485*486=235710 and 4855^2 = 23571025 486*487=236682 and 4865^2 = 23668225 487*488=237656 and 4875^2 = 23765625 488*489=238632 and 4885^2 = 23863225 489*490=239610 and 4895^2 = 23961025 490*491=240590 and 4905^2 = 24059025 491*492=241572 and 4915^2 = 24157225 492*493=242556 and 4925^2 = 24255625 493*494=243542 and 4935^2 = 24354225 494*495=244530 and 4945^2 = 24453025 495*496=245520 and 4955^2 = 24552025 496*497=246512 and 4965^2 = 24651225 497*498=247506 and 4975^2 = 24750625 498*499=248502 and 4985^2 = 24850225 499*500=249500 and 4995^2 = 24950025 500*501=250500 and 5005^2 = 25050025 501*502=251502 and 5015^2 = 25150225 502*503=252506 and 5025^2 = 25250625 503*504=253512 and 5035^2 = 25351225 504*505=254520 and 5045^2 = 25452025 505*506=255530 and 5055^2 = 25553025 506*507=256542 and 5065^2 = 25654225 507*508=257556 and 5075^2 = 25755625 508*509=258572 and 5085^2 = 25857225 509*510=259590 and 5095^2 = 25959025 510*511=260610 and 5105^2 = 26061025 511*512=261632 and 5115^2 = 26163225 512*513=262656 and 5125^2 = 26265625 513*514=263682 and 5135^2 = 26368225 514*515=264710 and 5145^2 = 26471025 515*516=265740 and 5155^2 = 26574025 516*517=266772 and 5165^2 = 26677225 517*518=267806 and 5175^2 = 26780625 518*519=268842 and 5185^2 = 26884225 519*520=269880 and 5195^2 = 26988025 520*521=270920 and 5205^2 = 27092025 521*522=271962 and 5215^2 = 27196225 522*523=273006 and 5225^2 = 27300625 523*524=274052 and 5235^2 = 27405225 524*525=275100 and 5245^2 = 27510025 525*526=276150 and 5255^2 = 27615025 526*527=277202 and 5265^2 = 27720225 527*528=278256 and 5275^2 = 27825625 528*529=279312 and 5285^2 = 27931225 529*530=280370 and 5295^2 = 28037025 530*531=281430 and 5305^2 = 28143025 531*532=282492 and 5315^2 = 28249225 532*533=283556 and 5325^2 = 28355625 533*534=284622 and 5335^2 = 28462225 534*535=285690 and 5345^2 = 28569025 535*536=286760 and 5355^2 = 28676025 536*537=287832 and 5365^2 = 28783225 537*538=288906 and 5375^2 = 28890625 538*539=289982 and 5385^2 = 28998225 539*540=291060 and 5395^2 = 29106025 540*541=292140 and 5405^2 = 29214025 541*542=293222 and 5415^2 = 29322225 542*543=294306 and 5425^2 = 29430625 543*544=295392 and 5435^2 = 29539225 544*545=296480 and 5445^2 = 29648025 545*546=297570 and 5455^2 = 29757025 546*547=298662 and 5465^2 = 29866225 547*548=299756 and 5475^2 = 29975625 548*549=300852 and 5485^2 = 30085225 549*550=301950 and 5495^2 = 30195025 550*551=303050 and 5505^2 = 30305025 551*552=304152 and 5515^2 = 30415225 552*553=305256 and 5525^2 = 30525625 553*554=306362 and 5535^2 = 30636225 554*555=307470 and 5545^2 = 30747025 555*556=308580 and 5555^2 = 30858025 556*557=309692 and 5565^2 = 30969225 557*558=310806 and 5575^2 = 31080625 558*559=311922 and 5585^2 = 31192225 559*560=313040 and 5595^2 = 31304025 560*561=314160 and 5605^2 = 31416025 561*562=315282 and 5615^2 = 31528225 562*563=316406 and 5625^2 = 31640625 563*564=317532 and 5635^2 = 31753225 564*565=318660 and 5645^2 = 31866025 565*566=319790 and 5655^2 = 31979025 566*567=320922 and 5665^2 = 32092225 567*568=322056 and 5675^2 = 32205625 568*569=323192 and 5685^2 = 32319225 569*570=324330 and 5695^2 = 32433025 570*571=325470 and 5705^2 = 32547025 571*572=326612 and 5715^2 = 32661225 572*573=327756 and 5725^2 = 32775625 573*574=328902 and 5735^2 = 32890225 574*575=330050 and 5745^2 = 33005025 575*576=331200 and 5755^2 = 33120025 576*577=332352 and 5765^2 = 33235225 577*578=333506 and 5775^2 = 33350625 578*579=334662 and 5785^2 = 33466225 579*580=335820 and 5795^2 = 33582025 580*581=336980 and 5805^2 = 33698025 581*582=338142 and 5815^2 = 33814225 582*583=339306 and 5825^2 = 33930625 583*584=340472 and 5835^2 = 34047225 584*585=341640 and 5845^2 = 34164025 585*586=342810 and 5855^2 = 34281025 586*587=343982 and 5865^2 = 34398225 587*588=345156 and 5875^2 = 34515625 588*589=346332 and 5885^2 = 34633225 589*590=347510 and 5895^2 = 34751025 590*591=348690 and 5905^2 = 34869025 591*592=349872 and 5915^2 = 34987225 592*593=351056 and 5925^2 = 35105625 593*594=352242 and 5935^2 = 35224225 594*595=353430 and 5945^2 = 35343025 595*596=354620 and 5955^2 = 35462025 596*597=355812 and 5965^2 = 35581225 597*598=357006 and 5975^2 = 35700625 598*599=358202 and 5985^2 = 35820225 599*600=359400 and 5995^2 = 35940025 600*601=360600 and 6005^2 = 36060025 601*602=361802 and 6015^2 = 36180225 602*603=363006 and 6025^2 = 36300625 603*604=364212 and 6035^2 = 36421225 604*605=365420 and 6045^2 = 36542025 605*606=366630 and 6055^2 = 36663025 606*607=367842 and 6065^2 = 36784225 607*608=369056 and 6075^2 = 36905625 608*609=370272 and 6085^2 = 37027225 609*610=371490 and 6095^2 = 37149025 610*611=372710 and 6105^2 = 37271025 611*612=373932 and 6115^2 = 37393225 612*613=375156 and 6125^2 = 37515625 613*614=376382 and 6135^2 = 37638225 614*615=377610 and 6145^2 = 37761025 615*616=378840 and 6155^2 = 37884025 616*617=380072 and 6165^2 = 38007225 617*618=381306 and 6175^2 = 38130625 618*619=382542 and 6185^2 = 38254225 619*620=383780 and 6195^2 = 38378025 620*621=385020 and 6205^2 = 38502025 621*622=386262 and 6215^2 = 38626225 622*623=387506 and 6225^2 = 38750625 623*624=388752 and 6235^2 = 38875225 624*625=390000 and 6245^2 = 39000025 625*626=391250 and 6255^2 = 39125025 626*627=392502 and 6265^2 = 39250225 627*628=393756 and 6275^2 = 39375625 628*629=395012 and 6285^2 = 39501225 629*630=396270 and 6295^2 = 39627025 630*631=397530 and 6305^2 = 39753025 631*632=398792 and 6315^2 = 39879225 632*633=400056 and 6325^2 = 40005625 633*634=401322 and 6335^2 = 40132225 634*635=402590 and 6345^2 = 40259025 635*636=403860 and 6355^2 = 40386025 636*637=405132 and 6365^2 = 40513225 637*638=406406 and 6375^2 = 40640625 638*639=407682 and 6385^2 = 40768225 639*640=408960 and 6395^2 = 40896025 640*641=410240 and 6405^2 = 41024025 641*642=411522 and 6415^2 = 41152225 642*643=412806 and 6425^2 = 41280625 643*644=414092 and 6435^2 = 41409225 644*645=415380 and 6445^2 = 41538025 645*646=416670 and 6455^2 = 41667025 646*647=417962 and 6465^2 = 41796225 647*648=419256 and 6475^2 = 41925625 648*649=420552 and 6485^2 = 42055225 649*650=421850 and 6495^2 = 42185025 650*651=423150 and 6505^2 = 42315025 651*652=424452 and 6515^2 = 42445225 652*653=425756 and 6525^2 = 42575625 653*654=427062 and 6535^2 = 42706225 654*655=428370 and 6545^2 = 42837025 655*656=429680 and 6555^2 = 42968025 656*657=430992 and 6565^2 = 43099225 657*658=432306 and 6575^2 = 43230625 658*659=433622 and 6585^2 = 43362225 659*660=434940 and 6595^2 = 43494025 660*661=436260 and 6605^2 = 43626025 661*662=437582 and 6615^2 = 43758225 662*663=438906 and 6625^2 = 43890625 663*664=440232 and 6635^2 = 44023225 664*665=441560 and 6645^2 = 44156025 665*666=442890 and 6655^2 = 44289025 666*667=444222 and 6665^2 = 44422225 667*668=445556 and 6675^2 = 44555625 668*669=446892 and 6685^2 = 44689225 669*670=448230 and 6695^2 = 44823025 670*671=449570 and 6705^2 = 44957025 671*672=450912 and 6715^2 = 45091225 672*673=452256 and 6725^2 = 45225625 673*674=453602 and 6735^2 = 45360225 674*675=454950 and 6745^2 = 45495025 675*676=456300 and 6755^2 = 45630025 676*677=457652 and 6765^2 = 45765225 677*678=459006 and 6775^2 = 45900625 678*679=460362 and 6785^2 = 46036225 679*680=461720 and 6795^2 = 46172025 680*681=463080 and 6805^2 = 46308025 681*682=464442 and 6815^2 = 46444225 682*683=465806 and 6825^2 = 46580625 683*684=467172 and 6835^2 = 46717225 684*685=468540 and 6845^2 = 46854025 685*686=469910 and 6855^2 = 46991025 686*687=471282 and 6865^2 = 47128225 687*688=472656 and 6875^2 = 47265625 688*689=474032 and 6885^2 = 47403225 689*690=475410 and 6895^2 = 47541025 690*691=476790 and 6905^2 = 47679025 691*692=478172 and 6915^2 = 47817225 692*693=479556 and 6925^2 = 47955625 693*694=480942 and 6935^2 = 48094225 694*695=482330 and 6945^2 = 48233025 695*696=483720 and 6955^2 = 48372025 696*697=485112 and 6965^2 = 48511225 697*698=486506 and 6975^2 = 48650625 698*699=487902 and 6985^2 = 48790225 699*700=489300 and 6995^2 = 48930025 700*701=490700 and 7005^2 = 49070025 701*702=492102 and 7015^2 = 49210225 702*703=493506 and 7025^2 = 49350625 703*704=494912 and 7035^2 = 49491225 704*705=496320 and 7045^2 = 49632025 705*706=497730 and 7055^2 = 49773025 706*707=499142 and 7065^2 = 49914225 707*708=500556 and 7075^2 = 50055625 708*709=501972 and 7085^2 = 50197225 709*710=503390 and 7095^2 = 50339025 710*711=504810 and 7105^2 = 50481025 711*712=506232 and 7115^2 = 50623225 712*713=507656 and 7125^2 = 50765625 713*714=509082 and 7135^2 = 50908225 714*715=510510 and 7145^2 = 51051025 715*716=511940 and 7155^2 = 51194025 716*717=513372 and 7165^2 = 51337225 717*718=514806 and 7175^2 = 51480625 718*719=516242 and 7185^2 = 51624225 719*720=517680 and 7195^2 = 51768025 720*721=519120 and 7205^2 = 51912025 721*722=520562 and 7215^2 = 52056225 722*723=522006 and 7225^2 = 52200625 723*724=523452 and 7235^2 = 52345225 724*725=524900 and 7245^2 = 52490025 725*726=526350 and 7255^2 = 52635025 726*727=527802 and 7265^2 = 52780225 727*728=529256 and 7275^2 = 52925625 728*729=530712 and 7285^2 = 53071225 729*730=532170 and 7295^2 = 53217025 730*731=533630 and 7305^2 = 53363025 731*732=535092 and 7315^2 = 53509225 732*733=536556 and 7325^2 = 53655625 733*734=538022 and 7335^2 = 53802225 734*735=539490 and 7345^2 = 53949025 735*736=540960 and 7355^2 = 54096025 736*737=542432 and 7365^2 = 54243225 737*738=543906 and 7375^2 = 54390625 738*739=545382 and 7385^2 = 54538225 739*740=546860 and 7395^2 = 54686025 740*741=548340 and 7405^2 = 54834025 741*742=549822 and 7415^2 = 54982225 742*743=551306 and 7425^2 = 55130625 743*744=552792 and 7435^2 = 55279225 744*745=554280 and 7445^2 = 55428025 745*746=555770 and 7455^2 = 55577025 746*747=557262 and 7465^2 = 55726225 747*748=558756 and 7475^2 = 55875625 748*749=560252 and 7485^2 = 56025225 749*750=561750 and 7495^2 = 56175025 750*751=563250 and 7505^2 = 56325025 751*752=564752 and 7515^2 = 56475225 752*753=566256 and 7525^2 = 56625625 753*754=567762 and 7535^2 = 56776225 754*755=569270 and 7545^2 = 56927025 755*756=570780 and 7555^2 = 57078025 756*757=572292 and 7565^2 = 57229225 757*758=573806 and 7575^2 = 57380625 758*759=575322 and 7585^2 = 57532225 759*760=576840 and 7595^2 = 57684025 760*761=578360 and 7605^2 = 57836025 761*762=579882 and 7615^2 = 57988225 762*763=581406 and 7625^2 = 58140625 763*764=582932 and 7635^2 = 58293225 764*765=584460 and 7645^2 = 58446025 765*766=585990 and 7655^2 = 58599025 766*767=587522 and 7665^2 = 58752225 767*768=589056 and 7675^2 = 58905625 768*769=590592 and 7685^2 = 59059225 769*770=592130 and 7695^2 = 59213025 770*771=593670 and 7705^2 = 59367025 771*772=595212 and 7715^2 = 59521225 772*773=596756 and 7725^2 = 59675625 773*774=598302 and 7735^2 = 59830225 774*775=599850 and 7745^2 = 59985025 775*776=601400 and 7755^2 = 60140025 776*777=602952 and 7765^2 = 60295225 777*778=604506 and 7775^2 = 60450625 778*779=606062 and 7785^2 = 60606225 779*780=607620 and 7795^2 = 60762025 780*781=609180 and 7805^2 = 60918025 781*782=610742 and 7815^2 = 61074225 782*783=612306 and 7825^2 = 61230625 783*784=613872 and 7835^2 = 61387225 784*785=615440 and 7845^2 = 61544025 785*786=617010 and 7855^2 = 61701025 786*787=618582 and 7865^2 = 61858225 787*788=620156 and 7875^2 = 62015625 788*789=621732 and 7885^2 = 62173225 789*790=623310 and 7895^2 = 62331025 790*791=624890 and 7905^2 = 62489025 791*792=626472 and 7915^2 = 62647225 792*793=628056 and 7925^2 = 62805625 793*794=629642 and 7935^2 = 62964225 794*795=631230 and 7945^2 = 63123025 795*796=632820 and 7955^2 = 63282025 796*797=634412 and 7965^2 = 63441225 797*798=636006 and 7975^2 = 63600625 798*799=637602 and 7985^2 = 63760225 799*800=639200 and 7995^2 = 63920025 800*801=640800 and 8005^2 = 64080025 801*802=642402 and 8015^2 = 64240225 802*803=644006 and 8025^2 = 64400625 803*804=645612 and 8035^2 = 64561225 804*805=647220 and 8045^2 = 64722025 805*806=648830 and 8055^2 = 64883025 806*807=650442 and 8065^2 = 65044225 807*808=652056 and 8075^2 = 65205625 808*809=653672 and 8085^2 = 65367225 809*810=655290 and 8095^2 = 65529025 810*811=656910 and 8105^2 = 65691025 811*812=658532 and 8115^2 = 65853225 812*813=660156 and 8125^2 = 66015625 813*814=661782 and 8135^2 = 66178225 814*815=663410 and 8145^2 = 66341025 815*816=665040 and 8155^2 = 66504025 816*817=666672 and 8165^2 = 66667225 817*818=668306 and 8175^2 = 66830625 818*819=669942 and 8185^2 = 66994225 819*820=671580 and 8195^2 = 67158025 820*821=673220 and 8205^2 = 67322025 821*822=674862 and 8215^2 = 67486225 822*823=676506 and 8225^2 = 67650625 823*824=678152 and 8235^2 = 67815225 824*825=679800 and 8245^2 = 67980025 825*826=681450 and 8255^2 = 68145025 826*827=683102 and 8265^2 = 68310225 827*828=684756 and 8275^2 = 68475625 828*829=686412 and 8285^2 = 68641225 829*830=688070 and 8295^2 = 68807025 830*831=689730 and 8305^2 = 68973025 831*832=691392 and 8315^2 = 69139225 832*833=693056 and 8325^2 = 69305625 833*834=694722 and 8335^2 = 69472225 834*835=696390 and 8345^2 = 69639025 835*836=698060 and 8355^2 = 69806025 836*837=699732 and 8365^2 = 69973225 837*838=701406 and 8375^2 = 70140625 838*839=703082 and 8385^2 = 70308225 839*840=704760 and 8395^2 = 70476025 840*841=706440 and 8405^2 = 70644025 841*842=708122 and 8415^2 = 70812225 842*843=709806 and 8425^2 = 70980625 843*844=711492 and 8435^2 = 71149225 844*845=713180 and 8445^2 = 71318025 845*846=714870 and 8455^2 = 71487025 846*847=716562 and 8465^2 = 71656225 847*848=718256 and 8475^2 = 71825625 848*849=719952 and 8485^2 = 71995225 849*850=721650 and 8495^2 = 72165025 850*851=723350 and 8505^2 = 72335025 851*852=725052 and 8515^2 = 72505225 852*853=726756 and 8525^2 = 72675625 853*854=728462 and 8535^2 = 72846225 854*855=730170 and 8545^2 = 73017025 855*856=731880 and 8555^2 = 73188025 856*857=733592 and 8565^2 = 73359225 857*858=735306 and 8575^2 = 73530625 858*859=737022 and 8585^2 = 73702225 859*860=738740 and 8595^2 = 73874025 860*861=740460 and 8605^2 = 74046025 861*862=742182 and 8615^2 = 74218225 862*863=743906 and 8625^2 = 74390625 863*864=745632 and 8635^2 = 74563225 864*865=747360 and 8645^2 = 74736025 865*866=749090 and 8655^2 = 74909025 866*867=750822 and 8665^2 = 75082225 867*868=752556 and 8675^2 = 75255625 868*869=754292 and 8685^2 = 75429225 869*870=756030 and 8695^2 = 75603025 870*871=757770 and 8705^2 = 75777025 871*872=759512 and 8715^2 = 75951225 872*873=761256 and 8725^2 = 76125625 873*874=763002 and 8735^2 = 76300225 874*875=764750 and 8745^2 = 76475025 875*876=766500 and 8755^2 = 76650025 876*877=768252 and 8765^2 = 76825225 877*878=770006 and 8775^2 = 77000625 878*879=771762 and 8785^2 = 77176225 879*880=773520 and 8795^2 = 77352025 880*881=775280 and 8805^2 = 77528025 881*882=777042 and 8815^2 = 77704225 882*883=778806 and 8825^2 = 77880625 883*884=780572 and 8835^2 = 78057225 884*885=782340 and 8845^2 = 78234025 885*886=784110 and 8855^2 = 78411025 886*887=785882 and 8865^2 = 78588225 887*888=787656 and 8875^2 = 78765625 888*889=789432 and 8885^2 = 78943225 889*890=791210 and 8895^2 = 79121025 890*891=792990 and 8905^2 = 79299025 891*892=794772 and 8915^2 = 79477225 892*893=796556 and 8925^2 = 79655625 893*894=798342 and 8935^2 = 79834225 894*895=800130 and 8945^2 = 80013025 895*896=801920 and 8955^2 = 80192025 896*897=803712 and 8965^2 = 80371225 897*898=805506 and 8975^2 = 80550625 898*899=807302 and 8985^2 = 80730225 899*900=809100 and 8995^2 = 80910025 900*901=810900 and 9005^2 = 81090025 901*902=812702 and 9015^2 = 81270225 902*903=814506 and 9025^2 = 81450625 903*904=816312 and 9035^2 = 81631225 904*905=818120 and 9045^2 = 81812025 905*906=819930 and 9055^2 = 81993025 906*907=821742 and 9065^2 = 82174225 907*908=823556 and 9075^2 = 82355625 908*909=825372 and 9085^2 = 82537225 909*910=827190 and 9095^2 = 82719025 910*911=829010 and 9105^2 = 82901025 911*912=830832 and 9115^2 = 83083225 912*913=832656 and 9125^2 = 83265625 913*914=834482 and 9135^2 = 83448225 914*915=836310 and 9145^2 = 83631025 915*916=838140 and 9155^2 = 83814025 916*917=839972 and 9165^2 = 83997225 917*918=841806 and 9175^2 = 84180625 918*919=843642 and 9185^2 = 84364225 919*920=845480 and 9195^2 = 84548025 920*921=847320 and 9205^2 = 84732025 921*922=849162 and 9215^2 = 84916225 922*923=851006 and 9225^2 = 85100625 923*924=852852 and 9235^2 = 85285225 924*925=854700 and 9245^2 = 85470025 925*926=856550 and 9255^2 = 85655025 926*927=858402 and 9265^2 = 85840225 927*928=860256 and 9275^2 = 86025625 928*929=862112 and 9285^2 = 86211225 929*930=863970 and 9295^2 = 86397025 930*931=865830 and 9305^2 = 86583025 931*932=867692 and 9315^2 = 86769225 932*933=869556 and 9325^2 = 86955625 933*934=871422 and 9335^2 = 87142225 934*935=873290 and 9345^2 = 87329025 935*936=875160 and 9355^2 = 87516025 936*937=877032 and 9365^2 = 87703225 937*938=878906 and 9375^2 = 87890625 938*939=880782 and 9385^2 = 88078225 939*940=882660 and 9395^2 = 88266025 940*941=884540 and 9405^2 = 88454025 941*942=886422 and 9415^2 = 88642225 942*943=888306 and 9425^2 = 88830625 943*944=890192 and 9435^2 = 89019225 944*945=892080 and 9445^2 = 89208025 945*946=893970 and 9455^2 = 89397025 946*947=895862 and 9465^2 = 89586225 947*948=897756 and 9475^2 = 89775625 948*949=899652 and 9485^2 = 89965225 949*950=901550 and 9495^2 = 90155025 950*951=903450 and 9505^2 = 90345025 951*952=905352 and 9515^2 = 90535225 952*953=907256 and 9525^2 = 90725625 953*954=909162 and 9535^2 = 90916225 954*955=911070 and 9545^2 = 91107025 955*956=912980 and 9555^2 = 91298025 956*957=914892 and 9565^2 = 91489225 957*958=916806 and 9575^2 = 91680625 958*959=918722 and 9585^2 = 91872225 959*960=920640 and 9595^2 = 92064025 960*961=922560 and 9605^2 = 92256025 961*962=924482 and 9615^2 = 92448225 962*963=926406 and 9625^2 = 92640625 963*964=928332 and 9635^2 = 92833225 964*965=930260 and 9645^2 = 93026025 965*966=932190 and 9655^2 = 93219025 966*967=934122 and 9665^2 = 93412225 967*968=936056 and 9675^2 = 93605625 968*969=937992 and 9685^2 = 93799225 969*970=939930 and 9695^2 = 93993025 970*971=941870 and 9705^2 = 94187025 971*972=943812 and 9715^2 = 94381225 972*973=945756 and 9725^2 = 94575625 973*974=947702 and 9735^2 = 94770225 974*975=949650 and 9745^2 = 94965025 975*976=951600 and 9755^2 = 95160025 976*977=953552 and 9765^2 = 95355225 977*978=955506 and 9775^2 = 95550625 978*979=957462 and 9785^2 = 95746225 979*980=959420 and 9795^2 = 95942025 980*981=961380 and 9805^2 = 96138025 981*982=963342 and 9815^2 = 96334225 982*983=965306 and 9825^2 = 96530625 983*984=967272 and 9835^2 = 96727225 984*985=969240 and 9845^2 = 96924025 985*986=971210 and 9855^2 = 97121025 986*987=973182 and 9865^2 = 97318225 987*988=975156 and 9875^2 = 97515625 988*989=977132 and 9885^2 = 97713225 989*990=979110 and 9895^2 = 97911025 990*991=981090 and 9905^2 = 98109025 991*992=983072 and 9915^2 = 98307225 992*993=985056 and 9925^2 = 98505625 993*994=987042 and 9935^2 = 98704225 994*995=989030 and 9945^2 = 98903025 995*996=991020 and 9955^2 = 99102025 996*997=993012 and 9965^2 = 99301225 997*998=995006 and 9975^2 = 99500625 998*999=997002 and 9985^2 = 99700225 999*1000=999000 and 9995^2 = 99900025 1000*1001=1001000 and 10005^2 = 100100025 1001*1002=1003002 and 10015^2 = 100300225 1002*1003=1005006 and 10025^2 = 100500625 1003*1004=1007012 and 10035^2 = 100701225 1004*1005=1009020 and 10045^2 = 100902025 1005*1006=1011030 and 10055^2 = 101103025 1006*1007=1013042 and 10065^2 = 101304225 1007*1008=1015056 and 10075^2 = 101505625 1008*1009=1017072 and 10085^2 = 101707225 1009*1010=1019090 and 10095^2 = 101909025 1010*1011=1021110 and 10105^2 = 102111025 1011*1012=1023132 and 10115^2 = 102313225 1012*1013=1025156 and 10125^2 = 102515625 1013*1014=1027182 and 10135^2 = 102718225 1014*1015=1029210 and 10145^2 = 102921025 1015*1016=1031240 and 10155^2 = 103124025 1016*1017=1033272 and 10165^2 = 103327225 1017*1018=1035306 and 10175^2 = 103530625 1018*1019=1037342 and 10185^2 = 103734225 1019*1020=1039380 and 10195^2 = 103938025 1020*1021=1041420 and 10205^2 = 104142025 1021*1022=1043462 and 10215^2 = 104346225 1022*1023=1045506 and 10225^2 = 104550625 1023*1024=1047552 and 10235^2 = 104755225 1024*1025=1049600 and 10245^2 = 104960025 1025*1026=1051650 and 10255^2 = 105165025 1026*1027=1053702 and 10265^2 = 105370225 1027*1028=1055756 and 10275^2 = 105575625 1028*1029=1057812 and 10285^2 = 105781225 1029*1030=1059870 and 10295^2 = 105987025 1030*1031=1061930 and 10305^2 = 106193025 1031*1032=1063992 and 10315^2 = 106399225 1032*1033=1066056 and 10325^2 = 106605625 1033*1034=1068122 and 10335^2 = 106812225 1034*1035=1070190 and 10345^2 = 107019025 1035*1036=1072260 and 10355^2 = 107226025 1036*1037=1074332 and 10365^2 = 107433225 1037*1038=1076406 and 10375^2 = 107640625 1038*1039=1078482 and 10385^2 = 107848225 1039*1040=1080560 and 10395^2 = 108056025 1040*1041=1082640 and 10405^2 = 108264025 1041*1042=1084722 and 10415^2 = 108472225 1042*1043=1086806 and 10425^2 = 108680625 1043*1044=1088892 and 10435^2 = 108889225 1044*1045=1090980 and 10445^2 = 109098025 1045*1046=1093070 and 10455^2 = 109307025 1046*1047=1095162 and 10465^2 = 109516225 1047*1048=1097256 and 10475^2 = 109725625 1048*1049=1099352 and 10485^2 = 109935225 1049*1050=1101450 and 10495^2 = 110145025 1050*1051=1103550 and 10505^2 = 110355025 1051*1052=1105652 and 10515^2 = 110565225 1052*1053=1107756 and 10525^2 = 110775625 1053*1054=1109862 and 10535^2 = 110986225 1054*1055=1111970 and 10545^2 = 111197025 1055*1056=1114080 and 10555^2 = 111408025 1056*1057=1116192 and 10565^2 = 111619225 1057*1058=1118306 and 10575^2 = 111830625 1058*1059=1120422 and 10585^2 = 112042225 1059*1060=1122540 and 10595^2 = 112254025 1060*1061=1124660 and 10605^2 = 112466025 1061*1062=1126782 and 10615^2 = 112678225 1062*1063=1128906 and 10625^2 = 112890625 1063*1064=1131032 and 10635^2 = 113103225 1064*1065=1133160 and 10645^2 = 113316025 1065*1066=1135290 and 10655^2 = 113529025 1066*1067=1137422 and 10665^2 = 113742225 1067*1068=1139556 and 10675^2 = 113955625 1068*1069=1141692 and 10685^2 = 114169225 1069*1070=1143830 and 10695^2 = 114383025 1070*1071=1145970 and 10705^2 = 114597025 1071*1072=1148112 and 10715^2 = 114811225 1072*1073=1150256 and 10725^2 = 115025625 1073*1074=1152402 and 10735^2 = 115240225 1074*1075=1154550 and 10745^2 = 115455025 1075*1076=1156700 and 10755^2 = 115670025 1076*1077=1158852 and 10765^2 = 115885225 1077*1078=1161006 and 10775^2 = 116100625 1078*1079=1163162 and 10785^2 = 116316225 1079*1080=1165320 and 10795^2 = 116532025 1080*1081=1167480 and 10805^2 = 116748025 1081*1082=1169642 and 10815^2 = 116964225 1082*1083=1171806 and 10825^2 = 117180625 1083*1084=1173972 and 10835^2 = 117397225 1084*1085=1176140 and 10845^2 = 117614025 1085*1086=1178310 and 10855^2 = 117831025 1086*1087=1180482 and 10865^2 = 118048225 1087*1088=1182656 and 10875^2 = 118265625 1088*1089=1184832 and 10885^2 = 118483225 1089*1090=1187010 and 10895^2 = 118701025 1090*1091=1189190 and 10905^2 = 118919025 1091*1092=1191372 and 10915^2 = 119137225 1092*1093=1193556 and 10925^2 = 119355625 1093*1094=1195742 and 10935^2 = 119574225 1094*1095=1197930 and 10945^2 = 119793025 1095*1096=1200120 and 10955^2 = 120012025 1096*1097=1202312 and 10965^2 = 120231225 1097*1098=1204506 and 10975^2 = 120450625 1098*1099=1206702 and 10985^2 = 120670225 1099*1100=1208900 and 10995^2 = 120890025 1100*1101=1211100 and 11005^2 = 121110025 1101*1102=1213302 and 11015^2 = 121330225 1102*1103=1215506 and 11025^2 = 121550625 1103*1104=1217712 and 11035^2 = 121771225 1104*1105=1219920 and 11045^2 = 121992025 1105*1106=1222130 and 11055^2 = 122213025 1106*1107=1224342 and 11065^2 = 122434225 1107*1108=1226556 and 11075^2 = 122655625 1108*1109=1228772 and 11085^2 = 122877225 1109*1110=1230990 and 11095^2 = 123099025 1110*1111=1233210 and 11105^2 = 123321025 1111*1112=1235432 and 11115^2 = 123543225 1112*1113=1237656 and 11125^2 = 123765625 1113*1114=1239882 and 11135^2 = 123988225 1114*1115=1242110 and 11145^2 = 124211025 1115*1116=1244340 and 11155^2 = 124434025 1116*1117=1246572 and 11165^2 = 124657225 1117*1118=1248806 and 11175^2 = 124880625 1118*1119=1251042 and 11185^2 = 125104225 1119*1120=1253280 and 11195^2 = 125328025 1120*1121=1255520 and 11205^2 = 125552025 1121*1122=1257762 and 11215^2 = 125776225 1122*1123=1260006 and 11225^2 = 126000625 1123*1124=1262252 and 11235^2 = 126225225 1124*1125=1264500 and 11245^2 = 126450025 1125*1126=1266750 and 11255^2 = 126675025 1126*1127=1269002 and 11265^2 = 126900225 1127*1128=1271256 and 11275^2 = 127125625 1128*1129=1273512 and 11285^2 = 127351225 1129*1130=1275770 and 11295^2 = 127577025 1130*1131=1278030 and 11305^2 = 127803025 1131*1132=1280292 and 11315^2 = 128029225 1132*1133=1282556 and 11325^2 = 128255625 1133*1134=1284822 and 11335^2 = 128482225 1134*1135=1287090 and 11345^2 = 128709025 1135*1136=1289360 and 11355^2 = 128936025 1136*1137=1291632 and 11365^2 = 129163225 1137*1138=1293906 and 11375^2 = 129390625 1138*1139=1296182 and 11385^2 = 129618225 1139*1140=1298460 and 11395^2 = 129846025 1140*1141=1300740 and 11405^2 = 130074025 1141*1142=1303022 and 11415^2 = 130302225 1142*1143=1305306 and 11425^2 = 130530625 1143*1144=1307592 and 11435^2 = 130759225 1144*1145=1309880 and 11445^2 = 130988025 1145*1146=1312170 and 11455^2 = 131217025 1146*1147=1314462 and 11465^2 = 131446225 1147*1148=1316756 and 11475^2 = 131675625 1148*1149=1319052 and 11485^2 = 131905225 1149*1150=1321350 and 11495^2 = 132135025 1150*1151=1323650 and 11505^2 = 132365025 1151*1152=1325952 and 11515^2 = 132595225 1152*1153=1328256 and 11525^2 = 132825625 1153*1154=1330562 and 11535^2 = 133056225 1154*1155=1332870 and 11545^2 = 133287025 1155*1156=1335180 and 11555^2 = 133518025 1156*1157=1337492 and 11565^2 = 133749225 1157*1158=1339806 and 11575^2 = 133980625 1158*1159=1342122 and 11585^2 = 134212225 1159*1160=1344440 and 11595^2 = 134444025 1160*1161=1346760 and 11605^2 = 134676025 1161*1162=1349082 and 11615^2 = 134908225 1162*1163=1351406 and 11625^2 = 135140625 1163*1164=1353732 and 11635^2 = 135373225 1164*1165=1356060 and 11645^2 = 135606025 1165*1166=1358390 and 11655^2 = 135839025 1166*1167=1360722 and 11665^2 = 136072225 1167*1168=1363056 and 11675^2 = 136305625 1168*1169=1365392 and 11685^2 = 136539225 1169*1170=1367730 and 11695^2 = 136773025 1170*1171=1370070 and 11705^2 = 137007025 1171*1172=1372412 and 11715^2 = 137241225 1172*1173=1374756 and 11725^2 = 137475625 1173*1174=1377102 and 11735^2 = 137710225 1174*1175=1379450 and 11745^2 = 137945025 1175*1176=1381800 and 11755^2 = 138180025 1176*1177=1384152 and 11765^2 = 138415225 1177*1178=1386506 and 11775^2 = 138650625 1178*1179=1388862 and 11785^2 = 138886225 1179*1180=1391220 and 11795^2 = 139122025 1180*1181=1393580 and 11805^2 = 139358025 1181*1182=1395942 and 11815^2 = 139594225 1182*1183=1398306 and 11825^2 = 139830625 1183*1184=1400672 and 11835^2 = 140067225 1184*1185=1403040 and 11845^2 = 140304025 1185*1186=1405410 and 11855^2 = 140541025 1186*1187=1407782 and 11865^2 = 140778225 1187*1188=1410156 and 11875^2 = 141015625 1188*1189=1412532 and 11885^2 = 141253225 1189*1190=1414910 and 11895^2 = 141491025 1190*1191=1417290 and 11905^2 = 141729025 1191*1192=1419672 and 11915^2 = 141967225 1192*1193=1422056 and 11925^2 = 142205625 1193*1194=1424442 and 11935^2 = 142444225 1194*1195=1426830 and 11945^2 = 142683025 1195*1196=1429220 and 11955^2 = 142922025 1196*1197=1431612 and 11965^2 = 143161225 1197*1198=1434006 and 11975^2 = 143400625 1198*1199=1436402 and 11985^2 = 143640225 1199*1200=1438800 and 11995^2 = 143880025 1200*1201=1441200 and 12005^2 = 144120025 1201*1202=1443602 and 12015^2 = 144360225 1202*1203=1446006 and 12025^2 = 144600625 1203*1204=1448412 and 12035^2 = 144841225 1204*1205=1450820 and 12045^2 = 145082025 1205*1206=1453230 and 12055^2 = 145323025 1206*1207=1455642 and 12065^2 = 145564225 1207*1208=1458056 and 12075^2 = 145805625 1208*1209=1460472 and 12085^2 = 146047225 1209*1210=1462890 and 12095^2 = 146289025 1210*1211=1465310 and 12105^2 = 146531025 1211*1212=1467732 and 12115^2 = 146773225 1212*1213=1470156 and 12125^2 = 147015625 1213*1214=1472582 and 12135^2 = 147258225 1214*1215=1475010 and 12145^2 = 147501025 1215*1216=1477440 and 12155^2 = 147744025 1216*1217=1479872 and 12165^2 = 147987225 1217*1218=1482306 and 12175^2 = 148230625 1218*1219=1484742 and 12185^2 = 148474225 1219*1220=1487180 and 12195^2 = 148718025 1220*1221=1489620 and 12205^2 = 148962025 1221*1222=1492062 and 12215^2 = 149206225 1222*1223=1494506 and 12225^2 = 149450625 1223*1224=1496952 and 12235^2 = 149695225 1224*1225=1499400 and 12245^2 = 149940025 1225*1226=1501850 and 12255^2 = 150185025 1226*1227=1504302 and 12265^2 = 150430225 1227*1228=1506756 and 12275^2 = 150675625 1228*1229=1509212 and 12285^2 = 150921225 1229*1230=1511670 and 12295^2 = 151167025 1230*1231=1514130 and 12305^2 = 151413025 1231*1232=1516592 and 12315^2 = 151659225 1232*1233=1519056 and 12325^2 = 151905625 1233*1234=1521522 and 12335^2 = 152152225 1234*1235=1523990 and 12345^2 = 152399025 1235*1236=1526460 and 12355^2 = 152646025 1236*1237=1528932 and 12365^2 = 152893225 1237*1238=1531406 and 12375^2 = 153140625 1238*1239=1533882 and 12385^2 = 153388225 1239*1240=1536360 and 12395^2 = 153636025 1240*1241=1538840 and 12405^2 = 153884025 1241*1242=1541322 and 12415^2 = 154132225 1242*1243=1543806 and 12425^2 = 154380625 1243*1244=1546292 and 12435^2 = 154629225 1244*1245=1548780 and 12445^2 = 154878025 1245*1246=1551270 and 12455^2 = 155127025 1246*1247=1553762 and 12465^2 = 155376225 1247*1248=1556256 and 12475^2 = 155625625 1248*1249=1558752 and 12485^2 = 155875225 1249*1250=1561250 and 12495^2 = 156125025 1250*1251=1563750 and 12505^2 = 156375025 1251*1252=1566252 and 12515^2 = 156625225 1252*1253=1568756 and 12525^2 = 156875625 1253*1254=1571262 and 12535^2 = 157126225 1254*1255=1573770 and 12545^2 = 157377025 1255*1256=1576280 and 12555^2 = 157628025 1256*1257=1578792 and 12565^2 = 157879225 1257*1258=1581306 and 12575^2 = 158130625 1258*1259=1583822 and 12585^2 = 158382225 1259*1260=1586340 and 12595^2 = 158634025 1260*1261=1588860 and 12605^2 = 158886025 1261*1262=1591382 and 12615^2 = 159138225 1262*1263=1593906 and 12625^2 = 159390625 1263*1264=1596432 and 12635^2 = 159643225 1264*1265=1598960 and 12645^2 = 159896025 1265*1266=1601490 and 12655^2 = 160149025 1266*1267=1604022 and 12665^2 = 160402225 1267*1268=1606556 and 12675^2 = 160655625 1268*1269=1609092 and 12685^2 = 160909225 1269*1270=1611630 and 12695^2 = 161163025 1270*1271=1614170 and 12705^2 = 161417025 1271*1272=1616712 and 12715^2 = 161671225 1272*1273=1619256 and 12725^2 = 161925625 1273*1274=1621802 and 12735^2 = 162180225 1274*1275=1624350 and 12745^2 = 162435025 1275*1276=1626900 and 12755^2 = 162690025 1276*1277=1629452 and 12765^2 = 162945225 1277*1278=1632006 and 12775^2 = 163200625 1278*1279=1634562 and 12785^2 = 163456225 1279*1280=1637120 and 12795^2 = 163712025 1280*1281=1639680 and 12805^2 = 163968025 1281*1282=1642242 and 12815^2 = 164224225 1282*1283=1644806 and 12825^2 = 164480625 1283*1284=1647372 and 12835^2 = 164737225 1284*1285=1649940 and 12845^2 = 164994025 1285*1286=1652510 and 12855^2 = 165251025 1286*1287=1655082 and 12865^2 = 165508225 1287*1288=1657656 and 12875^2 = 165765625 1288*1289=1660232 and 12885^2 = 166023225 1289*1290=1662810 and 12895^2 = 166281025 1290*1291=1665390 and 12905^2 = 166539025 1291*1292=1667972 and 12915^2 = 166797225 1292*1293=1670556 and 12925^2 = 167055625 1293*1294=1673142 and 12935^2 = 167314225 1294*1295=1675730 and 12945^2 = 167573025 1295*1296=1678320 and 12955^2 = 167832025 1296*1297=1680912 and 12965^2 = 168091225 1297*1298=1683506 and 12975^2 = 168350625 1298*1299=1686102 and 12985^2 = 168610225 1299*1300=1688700 and 12995^2 = 168870025 1300*1301=1691300 and 13005^2 = 169130025 1301*1302=1693902 and 13015^2 = 169390225 1302*1303=1696506 and 13025^2 = 169650625 1303*1304=1699112 and 13035^2 = 169911225 1304*1305=1701720 and 13045^2 = 170172025 1305*1306=1704330 and 13055^2 = 170433025 1306*1307=1706942 and 13065^2 = 170694225 1307*1308=1709556 and 13075^2 = 170955625 1308*1309=1712172 and 13085^2 = 171217225 1309*1310=1714790 and 13095^2 = 171479025 1310*1311=1717410 and 13105^2 = 171741025 1311*1312=1720032 and 13115^2 = 172003225 1312*1313=1722656 and 13125^2 = 172265625 1313*1314=1725282 and 13135^2 = 172528225 1314*1315=1727910 and 13145^2 = 172791025 1315*1316=1730540 and 13155^2 = 173054025 1316*1317=1733172 and 13165^2 = 173317225 1317*1318=1735806 and 13175^2 = 173580625 1318*1319=1738442 and 13185^2 = 173844225 1319*1320=1741080 and 13195^2 = 174108025 1320*1321=1743720 and 13205^2 = 174372025 1321*1322=1746362 and 13215^2 = 174636225 1322*1323=1749006 and 13225^2 = 174900625 1323*1324=1751652 and 13235^2 = 175165225 1324*1325=1754300 and 13245^2 = 175430025 1325*1326=1756950 and 13255^2 = 175695025 1326*1327=1759602 and 13265^2 = 175960225 1327*1328=1762256 and 13275^2 = 176225625 1328*1329=1764912 and 13285^2 = 176491225 1329*1330=1767570 and 13295^2 = 176757025 1330*1331=1770230 and 13305^2 = 177023025 1331*1332=1772892 and 13315^2 = 177289225 1332*1333=1775556 and 13325^2 = 177555625 1333*1334=1778222 and 13335^2 = 177822225 1334*1335=1780890 and 13345^2 = 178089025 1335*1336=1783560 and 13355^2 = 178356025 1336*1337=1786232 and 13365^2 = 178623225 1337*1338=1788906 and 13375^2 = 178890625 1338*1339=1791582 and 13385^2 = 179158225 1339*1340=1794260 and 13395^2 = 179426025 1340*1341=1796940 and 13405^2 = 179694025 1341*1342=1799622 and 13415^2 = 179962225 1342*1343=1802306 and 13425^2 = 180230625 1343*1344=1804992 and 13435^2 = 180499225 1344*1345=1807680 and 13445^2 = 180768025 1345*1346=1810370 and 13455^2 = 181037025 1346*1347=1813062 and 13465^2 = 181306225 1347*1348=1815756 and 13475^2 = 181575625 1348*1349=1818452 and 13485^2 = 181845225 1349*1350=1821150 and 13495^2 = 182115025 1350*1351=1823850 and 13505^2 = 182385025 1351*1352=1826552 and 13515^2 = 182655225 1352*1353=1829256 and 13525^2 = 182925625 1353*1354=1831962 and 13535^2 = 183196225 1354*1355=1834670 and 13545^2 = 183467025 1355*1356=1837380 and 13555^2 = 183738025 1356*1357=1840092 and 13565^2 = 184009225 1357*1358=1842806 and 13575^2 = 184280625 1358*1359=1845522 and 13585^2 = 184552225 1359*1360=1848240 and 13595^2 = 184824025 1360*1361=1850960 and 13605^2 = 185096025 1361*1362=1853682 and 13615^2 = 185368225 1362*1363=1856406 and 13625^2 = 185640625 1363*1364=1859132 and 13635^2 = 185913225 1364*1365=1861860 and 13645^2 = 186186025 1365*1366=1864590 and 13655^2 = 186459025 1366*1367=1867322 and 13665^2 = 186732225 1367*1368=1870056 and 13675^2 = 187005625 1368*1369=1872792 and 13685^2 = 187279225 1369*1370=1875530 and 13695^2 = 187553025 1370*1371=1878270 and 13705^2 = 187827025 1371*1372=1881012 and 13715^2 = 188101225 1372*1373=1883756 and 13725^2 = 188375625 1373*1374=1886502 and 13735^2 = 188650225 1374*1375=1889250 and 13745^2 = 188925025 1375*1376=1892000 and 13755^2 = 189200025 1376*1377=1894752 and 13765^2 = 189475225 1377*1378=1897506 and 13775^2 = 189750625 1378*1379=1900262 and 13785^2 = 190026225 1379*1380=1903020 and 13795^2 = 190302025 1380*1381=1905780 and 13805^2 = 190578025 1381*1382=1908542 and 13815^2 = 190854225 1382*1383=1911306 and 13825^2 = 191130625 1383*1384=1914072 and 13835^2 = 191407225 1384*1385=1916840 and 13845^2 = 191684025 1385*1386=1919610 and 13855^2 = 191961025 1386*1387=1922382 and 13865^2 = 192238225 1387*1388=1925156 and 13875^2 = 192515625 1388*1389=1927932 and 13885^2 = 192793225 1389*1390=1930710 and 13895^2 = 193071025 1390*1391=1933490 and 13905^2 = 193349025 1391*1392=1936272 and 13915^2 = 193627225 1392*1393=1939056 and 13925^2 = 193905625 1393*1394=1941842 and 13935^2 = 194184225 1394*1395=1944630 and 13945^2 = 194463025 1395*1396=1947420 and 13955^2 = 194742025 1396*1397=1950212 and 13965^2 = 195021225 1397*1398=1953006 and 13975^2 = 195300625 1398*1399=1955802 and 13985^2 = 195580225 1399*1400=1958600 and 13995^2 = 195860025 1400*1401=1961400 and 14005^2 = 196140025 1401*1402=1964202 and 14015^2 = 196420225 1402*1403=1967006 and 14025^2 = 196700625 1403*1404=1969812 and 14035^2 = 196981225 1404*1405=1972620 and 14045^2 = 197262025 1405*1406=1975430 and 14055^2 = 197543025 1406*1407=1978242 and 14065^2 = 197824225 1407*1408=1981056 and 14075^2 = 198105625 1408*1409=1983872 and 14085^2 = 198387225 1409*1410=1986690 and 14095^2 = 198669025 1410*1411=1989510 and 14105^2 = 198951025 1411*1412=1992332 and 14115^2 = 199233225 1412*1413=1995156 and 14125^2 = 199515625 1413*1414=1997982 and 14135^2 = 199798225 1414*1415=2000810 and 14145^2 = 200081025 1415*1416=2003640 and 14155^2 = 200364025 1416*1417=2006472 and 14165^2 = 200647225 1417*1418=2009306 and 14175^2 = 200930625 1418*1419=2012142 and 14185^2 = 201214225 1419*1420=2014980 and 14195^2 = 201498025 1420*1421=2017820 and 14205^2 = 201782025 1421*1422=2020662 and 14215^2 = 202066225 1422*1423=2023506 and 14225^2 = 202350625 1423*1424=2026352 and 14235^2 = 202635225 1424*1425=2029200 and 14245^2 = 202920025 1425*1426=2032050 and 14255^2 = 203205025 1426*1427=2034902 and 14265^2 = 203490225 1427*1428=2037756 and 14275^2 = 203775625 1428*1429=2040612 and 14285^2 = 204061225 1429*1430=2043470 and 14295^2 = 204347025 1430*1431=2046330 and 14305^2 = 204633025 1431*1432=2049192 and 14315^2 = 204919225 1432*1433=2052056 and 14325^2 = 205205625 1433*1434=2054922 and 14335^2 = 205492225 1434*1435=2057790 and 14345^2 = 205779025 1435*1436=2060660 and 14355^2 = 206066025 1436*1437=2063532 and 14365^2 = 206353225 1437*1438=2066406 and 14375^2 = 206640625 1438*1439=2069282 and 14385^2 = 206928225 1439*1440=2072160 and 14395^2 = 207216025 1440*1441=2075040 and 14405^2 = 207504025 1441*1442=2077922 and 14415^2 = 207792225 1442*1443=2080806 and 14425^2 = 208080625 1443*1444=2083692 and 14435^2 = 208369225 1444*1445=2086580 and 14445^2 = 208658025 1445*1446=2089470 and 14455^2 = 208947025 1446*1447=2092362 and 14465^2 = 209236225 1447*1448=2095256 and 14475^2 = 209525625 1448*1449=2098152 and 14485^2 = 209815225 1449*1450=2101050 and 14495^2 = 210105025 1450*1451=2103950 and 14505^2 = 210395025 1451*1452=2106852 and 14515^2 = 210685225 1452*1453=2109756 and 14525^2 = 210975625 1453*1454=2112662 and 14535^2 = 211266225 1454*1455=2115570 and 14545^2 = 211557025 1455*1456=2118480 and 14555^2 = 211848025 1456*1457=2121392 and 14565^2 = 212139225 1457*1458=2124306 and 14575^2 = 212430625 1458*1459=2127222 and 14585^2 = 212722225 1459*1460=2130140 and 14595^2 = 213014025 1460*1461=2133060 and 14605^2 = 213306025 1461*1462=2135982 and 14615^2 = 213598225 1462*1463=2138906 and 14625^2 = 213890625 1463*1464=2141832 and 14635^2 = 214183225 1464*1465=2144760 and 14645^2 = 214476025 1465*1466=2147690 and 14655^2 = 214769025 1466*1467=2150622 and 14665^2 = 215062225 1467*1468=2153556 and 14675^2 = 215355625 1468*1469=2156492 and 14685^2 = 215649225 1469*1470=2159430 and 14695^2 = 215943025 1470*1471=2162370 and 14705^2 = 216237025 1471*1472=2165312 and 14715^2 = 216531225 1472*1473=2168256 and 14725^2 = 216825625 1473*1474=2171202 and 14735^2 = 217120225 1474*1475=2174150 and 14745^2 = 217415025 1475*1476=2177100 and 14755^2 = 217710025 1476*1477=2180052 and 14765^2 = 218005225 1477*1478=2183006 and 14775^2 = 218300625 1478*1479=2185962 and 14785^2 = 218596225 1479*1480=2188920 and 14795^2 = 218892025 1480*1481=2191880 and 14805^2 = 219188025 1481*1482=2194842 and 14815^2 = 219484225 1482*1483=2197806 and 14825^2 = 219780625 1483*1484=2200772 and 14835^2 = 220077225 1484*1485=2203740 and 14845^2 = 220374025 1485*1486=2206710 and 14855^2 = 220671025 1486*1487=2209682 and 14865^2 = 220968225 1487*1488=2212656 and 14875^2 = 221265625 1488*1489=2215632 and 14885^2 = 221563225 1489*1490=2218610 and 14895^2 = 221861025 1490*1491=2221590 and 14905^2 = 222159025 1491*1492=2224572 and 14915^2 = 222457225 1492*1493=2227556 and 14925^2 = 222755625 1493*1494=2230542 and 14935^2 = 223054225 1494*1495=2233530 and 14945^2 = 223353025 1495*1496=2236520 and 14955^2 = 223652025 1496*1497=2239512 and 14965^2 = 223951225 1497*1498=2242506 and 14975^2 = 224250625 1498*1499=2245502 and 14985^2 = 224550225 1499*1500=2248500 and 14995^2 = 224850025 1500*1501=2251500 and 15005^2 = 225150025 1501*1502=2254502 and 15015^2 = 225450225 1502*1503=2257506 and 15025^2 = 225750625 1503*1504=2260512 and 15035^2 = 226051225 1504*1505=2263520 and 15045^2 = 226352025 1505*1506=2266530 and 15055^2 = 226653025 1506*1507=2269542 and 15065^2 = 226954225 1507*1508=2272556 and 15075^2 = 227255625 1508*1509=2275572 and 15085^2 = 227557225 1509*1510=2278590 and 15095^2 = 227859025 1510*1511=2281610 and 15105^2 = 228161025 1511*1512=2284632 and 15115^2 = 228463225 1512*1513=2287656 and 15125^2 = 228765625 1513*1514=2290682 and 15135^2 = 229068225 1514*1515=2293710 and 15145^2 = 229371025 1515*1516=2296740 and 15155^2 = 229674025 1516*1517=2299772 and 15165^2 = 229977225 1517*1518=2302806 and 15175^2 = 230280625 1518*1519=2305842 and 15185^2 = 230584225 1519*1520=2308880 and 15195^2 = 230888025 1520*1521=2311920 and 15205^2 = 231192025 1521*1522=2314962 and 15215^2 = 231496225 1522*1523=2318006 and 15225^2 = 231800625 1523*1524=2321052 and 15235^2 = 232105225 1524*1525=2324100 and 15245^2 = 232410025 1525*1526=2327150 and 15255^2 = 232715025 1526*1527=2330202 and 15265^2 = 233020225 1527*1528=2333256 and 15275^2 = 233325625 1528*1529=2336312 and 15285^2 = 233631225 1529*1530=2339370 and 15295^2 = 233937025 1530*1531=2342430 and 15305^2 = 234243025 1531*1532=2345492 and 15315^2 = 234549225 1532*1533=2348556 and 15325^2 = 234855625 1533*1534=2351622 and 15335^2 = 235162225 1534*1535=2354690 and 15345^2 = 235469025 1535*1536=2357760 and 15355^2 = 235776025 1536*1537=2360832 and 15365^2 = 236083225 1537*1538=2363906 and 15375^2 = 236390625 1538*1539=2366982 and 15385^2 = 236698225 1539*1540=2370060 and 15395^2 = 237006025 1540*1541=2373140 and 15405^2 = 237314025 1541*1542=2376222 and 15415^2 = 237622225 1542*1543=2379306 and 15425^2 = 237930625 1543*1544=2382392 and 15435^2 = 238239225 1544*1545=2385480 and 15445^2 = 238548025 1545*1546=2388570 and 15455^2 = 238857025 1546*1547=2391662 and 15465^2 = 239166225 1547*1548=2394756 and 15475^2 = 239475625 1548*1549=2397852 and 15485^2 = 239785225 1549*1550=2400950 and 15495^2 = 240095025 1550*1551=2404050 and 15505^2 = 240405025 1551*1552=2407152 and 15515^2 = 240715225 1552*1553=2410256 and 15525^2 = 241025625 1553*1554=2413362 and 15535^2 = 241336225 1554*1555=2416470 and 15545^2 = 241647025 1555*1556=2419580 and 15555^2 = 241958025 1556*1557=2422692 and 15565^2 = 242269225 1557*1558=2425806 and 15575^2 = 242580625 1558*1559=2428922 and 15585^2 = 242892225 1559*1560=2432040 and 15595^2 = 243204025 1560*1561=2435160 and 15605^2 = 243516025 1561*1562=2438282 and 15615^2 = 243828225 1562*1563=2441406 and 15625^2 = 244140625 1563*1564=2444532 and 15635^2 = 244453225 1564*1565=2447660 and 15645^2 = 244766025 1565*1566=2450790 and 15655^2 = 245079025 1566*1567=2453922 and 15665^2 = 245392225 1567*1568=2457056 and 15675^2 = 245705625 1568*1569=2460192 and 15685^2 = 246019225 1569*1570=2463330 and 15695^2 = 246333025 1570*1571=2466470 and 15705^2 = 246647025 1571*1572=2469612 and 15715^2 = 246961225 1572*1573=2472756 and 15725^2 = 247275625 1573*1574=2475902 and 15735^2 = 247590225 1574*1575=2479050 and 15745^2 = 247905025 1575*1576=2482200 and 15755^2 = 248220025 1576*1577=2485352 and 15765^2 = 248535225 1577*1578=2488506 and 15775^2 = 248850625 1578*1579=2491662 and 15785^2 = 249166225 1579*1580=2494820 and 15795^2 = 249482025 1580*1581=2497980 and 15805^2 = 249798025 1581*1582=2501142 and 15815^2 = 250114225 1582*1583=2504306 and 15825^2 = 250430625 1583*1584=2507472 and 15835^2 = 250747225 1584*1585=2510640 and 15845^2 = 251064025 1585*1586=2513810 and 15855^2 = 251381025 1586*1587=2516982 and 15865^2 = 251698225 1587*1588=2520156 and 15875^2 = 252015625 1588*1589=2523332 and 15885^2 = 252333225 1589*1590=2526510 and 15895^2 = 252651025 1590*1591=2529690 and 15905^2 = 252969025 1591*1592=2532872 and 15915^2 = 253287225 1592*1593=2536056 and 15925^2 = 253605625 1593*1594=2539242 and 15935^2 = 253924225 1594*1595=2542430 and 15945^2 = 254243025 1595*1596=2545620 and 15955^2 = 254562025 1596*1597=2548812 and 15965^2 = 254881225 1597*1598=2552006 and 15975^2 = 255200625 1598*1599=2555202 and 15985^2 = 255520225 1599*1600=2558400 and 15995^2 = 255840025 1600*1601=2561600 and 16005^2 = 256160025 1601*1602=2564802 and 16015^2 = 256480225 1602*1603=2568006 and 16025^2 = 256800625 1603*1604=2571212 and 16035^2 = 257121225 1604*1605=2574420 and 16045^2 = 257442025 1605*1606=2577630 and 16055^2 = 257763025 1606*1607=2580842 and 16065^2 = 258084225 1607*1608=2584056 and 16075^2 = 258405625 1608*1609=2587272 and 16085^2 = 258727225 1609*1610=2590490 and 16095^2 = 259049025 1610*1611=2593710 and 16105^2 = 259371025 1611*1612=2596932 and 16115^2 = 259693225 1612*1613=2600156 and 16125^2 = 260015625 1613*1614=2603382 and 16135^2 = 260338225 1614*1615=2606610 and 16145^2 = 260661025 1615*1616=2609840 and 16155^2 = 260984025 1616*1617=2613072 and 16165^2 = 261307225 1617*1618=2616306 and 16175^2 = 261630625 1618*1619=2619542 and 16185^2 = 261954225 1619*1620=2622780 and 16195^2 = 262278025 1620*1621=2626020 and 16205^2 = 262602025 1621*1622=2629262 and 16215^2 = 262926225 1622*1623=2632506 and 16225^2 = 263250625 1623*1624=2635752 and 16235^2 = 263575225 1624*1625=2639000 and 16245^2 = 263900025 1625*1626=2642250 and 16255^2 = 264225025 1626*1627=2645502 and 16265^2 = 264550225 1627*1628=2648756 and 16275^2 = 264875625 1628*1629=2652012 and 16285^2 = 265201225 1629*1630=2655270 and 16295^2 = 265527025 1630*1631=2658530 and 16305^2 = 265853025 1631*1632=2661792 and 16315^2 = 266179225 1632*1633=2665056 and 16325^2 = 266505625 1633*1634=2668322 and 16335^2 = 266832225 1634*1635=2671590 and 16345^2 = 267159025 1635*1636=2674860 and 16355^2 = 267486025 1636*1637=2678132 and 16365^2 = 267813225 1637*1638=2681406 and 16375^2 = 268140625 1638*1639=2684682 and 16385^2 = 268468225 1639*1640=2687960 and 16395^2 = 268796025 1640*1641=2691240 and 16405^2 = 269124025 1641*1642=2694522 and 16415^2 = 269452225 1642*1643=2697806 and 16425^2 = 269780625 1643*1644=2701092 and 16435^2 = 270109225 1644*1645=2704380 and 16445^2 = 270438025 1645*1646=2707670 and 16455^2 = 270767025 1646*1647=2710962 and 16465^2 = 271096225 1647*1648=2714256 and 16475^2 = 271425625 1648*1649=2717552 and 16485^2 = 271755225 1649*1650=2720850 and 16495^2 = 272085025 1650*1651=2724150 and 16505^2 = 272415025 1651*1652=2727452 and 16515^2 = 272745225 1652*1653=2730756 and 16525^2 = 273075625 1653*1654=2734062 and 16535^2 = 273406225 1654*1655=2737370 and 16545^2 = 273737025 1655*1656=2740680 and 16555^2 = 274068025 1656*1657=2743992 and 16565^2 = 274399225 1657*1658=2747306 and 16575^2 = 274730625 1658*1659=2750622 and 16585^2 = 275062225 1659*1660=2753940 and 16595^2 = 275394025 1660*1661=2757260 and 16605^2 = 275726025 1661*1662=2760582 and 16615^2 = 276058225 1662*1663=2763906 and 16625^2 = 276390625 1663*1664=2767232 and 16635^2 = 276723225 1664*1665=2770560 and 16645^2 = 277056025 1665*1666=2773890 and 16655^2 = 277389025 1666*1667=2777222 and 16665^2 = 277722225 1667*1668=2780556 and 16675^2 = 278055625 1668*1669=2783892 and 16685^2 = 278389225 1669*1670=2787230 and 16695^2 = 278723025 1670*1671=2790570 and 16705^2 = 279057025 1671*1672=2793912 and 16715^2 = 279391225 1672*1673=2797256 and 16725^2 = 279725625 1673*1674=2800602 and 16735^2 = 280060225 1674*1675=2803950 and 16745^2 = 280395025 1675*1676=2807300 and 16755^2 = 280730025 1676*1677=2810652 and 16765^2 = 281065225 1677*1678=2814006 and 16775^2 = 281400625 1678*1679=2817362 and 16785^2 = 281736225 1679*1680=2820720 and 16795^2 = 282072025 1680*1681=2824080 and 16805^2 = 282408025 1681*1682=2827442 and 16815^2 = 282744225 1682*1683=2830806 and 16825^2 = 283080625 1683*1684=2834172 and 16835^2 = 283417225 1684*1685=2837540 and 16845^2 = 283754025 1685*1686=2840910 and 16855^2 = 284091025 1686*1687=2844282 and 16865^2 = 284428225 1687*1688=2847656 and 16875^2 = 284765625 1688*1689=2851032 and 16885^2 = 285103225 1689*1690=2854410 and 16895^2 = 285441025 1690*1691=2857790 and 16905^2 = 285779025 1691*1692=2861172 and 16915^2 = 286117225 1692*1693=2864556 and 16925^2 = 286455625 1693*1694=2867942 and 16935^2 = 286794225 1694*1695=2871330 and 16945^2 = 287133025 1695*1696=2874720 and 16955^2 = 287472025 1696*1697=2878112 and 16965^2 = 287811225 1697*1698=2881506 and 16975^2 = 288150625 1698*1699=2884902 and 16985^2 = 288490225 1699*1700=2888300 and 16995^2 = 288830025 1700*1701=2891700 and 17005^2 = 289170025 1701*1702=2895102 and 17015^2 = 289510225 1702*1703=2898506 and 17025^2 = 289850625 1703*1704=2901912 and 17035^2 = 290191225 1704*1705=2905320 and 17045^2 = 290532025 1705*1706=2908730 and 17055^2 = 290873025 1706*1707=2912142 and 17065^2 = 291214225 1707*1708=2915556 and 17075^2 = 291555625 1708*1709=2918972 and 17085^2 = 291897225 1709*1710=2922390 and 17095^2 = 292239025 1710*1711=2925810 and 17105^2 = 292581025 1711*1712=2929232 and 17115^2 = 292923225 1712*1713=2932656 and 17125^2 = 293265625 1713*1714=2936082 and 17135^2 = 293608225 1714*1715=2939510 and 17145^2 = 293951025 1715*1716=2942940 and 17155^2 = 294294025 1716*1717=2946372 and 17165^2 = 294637225 1717*1718=2949806 and 17175^2 = 294980625 1718*1719=2953242 and 17185^2 = 295324225 1719*1720=2956680 and 17195^2 = 295668025 1720*1721=2960120 and 17205^2 = 296012025 1721*1722=2963562 and 17215^2 = 296356225 1722*1723=2967006 and 17225^2 = 296700625 1723*1724=2970452 and 17235^2 = 297045225 1724*1725=2973900 and 17245^2 = 297390025 1725*1726=2977350 and 17255^2 = 297735025 1726*1727=2980802 and 17265^2 = 298080225 1727*1728=2984256 and 17275^2 = 298425625 1728*1729=2987712 and 17285^2 = 298771225 1729*1730=2991170 and 17295^2 = 299117025 1730*1731=2994630 and 17305^2 = 299463025 1731*1732=2998092 and 17315^2 = 299809225 1732*1733=3001556 and 17325^2 = 300155625 1733*1734=3005022 and 17335^2 = 300502225 1734*1735=3008490 and 17345^2 = 300849025 1735*1736=3011960 and 17355^2 = 301196025 1736*1737=3015432 and 17365^2 = 301543225 1737*1738=3018906 and 17375^2 = 301890625 1738*1739=3022382 and 17385^2 = 302238225 1739*1740=3025860 and 17395^2 = 302586025 1740*1741=3029340 and 17405^2 = 302934025 1741*1742=3032822 and 17415^2 = 303282225 1742*1743=3036306 and 17425^2 = 303630625 1743*1744=3039792 and 17435^2 = 303979225 1744*1745=3043280 and 17445^2 = 304328025 1745*1746=3046770 and 17455^2 = 304677025 1746*1747=3050262 and 17465^2 = 305026225 1747*1748=3053756 and 17475^2 = 305375625 1748*1749=3057252 and 17485^2 = 305725225 1749*1750=3060750 and 17495^2 = 306075025 1750*1751=3064250 and 17505^2 = 306425025 1751*1752=3067752 and 17515^2 = 306775225 1752*1753=3071256 and 17525^2 = 307125625 1753*1754=3074762 and 17535^2 = 307476225 1754*1755=3078270 and 17545^2 = 307827025 1755*1756=3081780 and 17555^2 = 308178025 1756*1757=3085292 and 17565^2 = 308529225 1757*1758=3088806 and 17575^2 = 308880625 1758*1759=3092322 and 17585^2 = 309232225 1759*1760=3095840 and 17595^2 = 309584025 1760*1761=3099360 and 17605^2 = 309936025 1761*1762=3102882 and 17615^2 = 310288225 1762*1763=3106406 and 17625^2 = 310640625 1763*1764=3109932 and 17635^2 = 310993225 1764*1765=3113460 and 17645^2 = 311346025 1765*1766=3116990 and 17655^2 = 311699025 1766*1767=3120522 and 17665^2 = 312052225 1767*1768=3124056 and 17675^2 = 312405625 1768*1769=3127592 and 17685^2 = 312759225 1769*1770=3131130 and 17695^2 = 313113025 1770*1771=3134670 and 17705^2 = 313467025 1771*1772=3138212 and 17715^2 = 313821225 1772*1773=3141756 and 17725^2 = 314175625 1773*1774=3145302 and 17735^2 = 314530225 1774*1775=3148850 and 17745^2 = 314885025 1775*1776=3152400 and 17755^2 = 315240025 1776*1777=3155952 and 17765^2 = 315595225 1777*1778=3159506 and 17775^2 = 315950625 1778*1779=3163062 and 17785^2 = 316306225 1779*1780=3166620 and 17795^2 = 316662025 1780*1781=3170180 and 17805^2 = 317018025 1781*1782=3173742 and 17815^2 = 317374225 1782*1783=3177306 and 17825^2 = 317730625 1783*1784=3180872 and 17835^2 = 318087225 1784*1785=3184440 and 17845^2 = 318444025 1785*1786=3188010 and 17855^2 = 318801025 1786*1787=3191582 and 17865^2 = 319158225 1787*1788=3195156 and 17875^2 = 319515625 1788*1789=3198732 and 17885^2 = 319873225 1789*1790=3202310 and 17895^2 = 320231025 1790*1791=3205890 and 17905^2 = 320589025 1791*1792=3209472 and 17915^2 = 320947225 1792*1793=3213056 and 17925^2 = 321305625 1793*1794=3216642 and 17935^2 = 321664225 1794*1795=3220230 and 17945^2 = 322023025 1795*1796=3223820 and 17955^2 = 322382025 1796*1797=3227412 and 17965^2 = 322741225 1797*1798=3231006 and 17975^2 = 323100625 1798*1799=3234602 and 17985^2 = 323460225 1799*1800=3238200 and 17995^2 = 323820025 1800*1801=3241800 and 18005^2 = 324180025 1801*1802=3245402 and 18015^2 = 324540225 1802*1803=3249006 and 18025^2 = 324900625 1803*1804=3252612 and 18035^2 = 325261225 1804*1805=3256220 and 18045^2 = 325622025 1805*1806=3259830 and 18055^2 = 325983025 1806*1807=3263442 and 18065^2 = 326344225 1807*1808=3267056 and 18075^2 = 326705625 1808*1809=3270672 and 18085^2 = 327067225 1809*1810=3274290 and 18095^2 = 327429025 1810*1811=3277910 and 18105^2 = 327791025 1811*1812=3281532 and 18115^2 = 328153225 1812*1813=3285156 and 18125^2 = 328515625 1813*1814=3288782 and 18135^2 = 328878225 1814*1815=3292410 and 18145^2 = 329241025 1815*1816=3296040 and 18155^2 = 329604025 1816*1817=3299672 and 18165^2 = 329967225 1817*1818=3303306 and 18175^2 = 330330625 1818*1819=3306942 and 18185^2 = 330694225 1819*1820=3310580 and 18195^2 = 331058025 1820*1821=3314220 and 18205^2 = 331422025 1821*1822=3317862 and 18215^2 = 331786225 1822*1823=3321506 and 18225^2 = 332150625 1823*1824=3325152 and 18235^2 = 332515225 1824*1825=3328800 and 18245^2 = 332880025 1825*1826=3332450 and 18255^2 = 333245025 1826*1827=3336102 and 18265^2 = 333610225 1827*1828=3339756 and 18275^2 = 333975625 1828*1829=3343412 and 18285^2 = 334341225 1829*1830=3347070 and 18295^2 = 334707025 1830*1831=3350730 and 18305^2 = 335073025 1831*1832=3354392 and 18315^2 = 335439225 1832*1833=3358056 and 18325^2 = 335805625 1833*1834=3361722 and 18335^2 = 336172225 1834*1835=3365390 and 18345^2 = 336539025 1835*1836=3369060 and 18355^2 = 336906025 1836*1837=3372732 and 18365^2 = 337273225 1837*1838=3376406 and 18375^2 = 337640625 1838*1839=3380082 and 18385^2 = 338008225 1839*1840=3383760 and 18395^2 = 338376025 1840*1841=3387440 and 18405^2 = 338744025 1841*1842=3391122 and 18415^2 = 339112225 1842*1843=3394806 and 18425^2 = 339480625 1843*1844=3398492 and 18435^2 = 339849225 1844*1845=3402180 and 18445^2 = 340218025 1845*1846=3405870 and 18455^2 = 340587025 1846*1847=3409562 and 18465^2 = 340956225 1847*1848=3413256 and 18475^2 = 341325625 1848*1849=3416952 and 18485^2 = 341695225 1849*1850=3420650 and 18495^2 = 342065025 1850*1851=3424350 and 18505^2 = 342435025 1851*1852=3428052 and 18515^2 = 342805225 1852*1853=3431756 and 18525^2 = 343175625 1853*1854=3435462 and 18535^2 = 343546225 1854*1855=3439170 and 18545^2 = 343917025 1855*1856=3442880 and 18555^2 = 344288025 1856*1857=3446592 and 18565^2 = 344659225 1857*1858=3450306 and 18575^2 = 345030625 1858*1859=3454022 and 18585^2 = 345402225 1859*1860=3457740 and 18595^2 = 345774025 1860*1861=3461460 and 18605^2 = 346146025 1861*1862=3465182 and 18615^2 = 346518225 1862*1863=3468906 and 18625^2 = 346890625 1863*1864=3472632 and 18635^2 = 347263225 1864*1865=3476360 and 18645^2 = 347636025 1865*1866=3480090 and 18655^2 = 348009025 1866*1867=3483822 and 18665^2 = 348382225 1867*1868=3487556 and 18675^2 = 348755625 1868*1869=3491292 and 18685^2 = 349129225 1869*1870=3495030 and 18695^2 = 349503025 1870*1871=3498770 and 18705^2 = 349877025 1871*1872=3502512 and 18715^2 = 350251225 1872*1873=3506256 and 18725^2 = 350625625 1873*1874=3510002 and 18735^2 = 351000225 1874*1875=3513750 and 18745^2 = 351375025 1875*1876=3517500 and 18755^2 = 351750025 1876*1877=3521252 and 18765^2 = 352125225 1877*1878=3525006 and 18775^2 = 352500625 1878*1879=3528762 and 18785^2 = 352876225 1879*1880=3532520 and 18795^2 = 353252025 1880*1881=3536280 and 18805^2 = 353628025 1881*1882=3540042 and 18815^2 = 354004225 1882*1883=3543806 and 18825^2 = 354380625 1883*1884=3547572 and 18835^2 = 354757225 1884*1885=3551340 and 18845^2 = 355134025 1885*1886=3555110 and 18855^2 = 355511025 1886*1887=3558882 and 18865^2 = 355888225 1887*1888=3562656 and 18875^2 = 356265625 1888*1889=3566432 and 18885^2 = 356643225 1889*1890=3570210 and 18895^2 = 357021025 1890*1891=3573990 and 18905^2 = 357399025 1891*1892=3577772 and 18915^2 = 357777225 1892*1893=3581556 and 18925^2 = 358155625 1893*1894=3585342 and 18935^2 = 358534225 1894*1895=3589130 and 18945^2 = 358913025 1895*1896=3592920 and 18955^2 = 359292025 1896*1897=3596712 and 18965^2 = 359671225 1897*1898=3600506 and 18975^2 = 360050625 1898*1899=3604302 and 18985^2 = 360430225 1899*1900=3608100 and 18995^2 = 360810025 1900*1901=3611900 and 19005^2 = 361190025 1901*1902=3615702 and 19015^2 = 361570225 1902*1903=3619506 and 19025^2 = 361950625 1903*1904=3623312 and 19035^2 = 362331225 1904*1905=3627120 and 19045^2 = 362712025 1905*1906=3630930 and 19055^2 = 363093025 1906*1907=3634742 and 19065^2 = 363474225 1907*1908=3638556 and 19075^2 = 363855625 1908*1909=3642372 and 19085^2 = 364237225 1909*1910=3646190 and 19095^2 = 364619025 1910*1911=3650010 and 19105^2 = 365001025 1911*1912=3653832 and 19115^2 = 365383225 1912*1913=3657656 and 19125^2 = 365765625 1913*1914=3661482 and 19135^2 = 366148225 1914*1915=3665310 and 19145^2 = 366531025 1915*1916=3669140 and 19155^2 = 366914025 1916*1917=3672972 and 19165^2 = 367297225 1917*1918=3676806 and 19175^2 = 367680625 1918*1919=3680642 and 19185^2 = 368064225 1919*1920=3684480 and 19195^2 = 368448025 1920*1921=3688320 and 19205^2 = 368832025 1921*1922=3692162 and 19215^2 = 369216225 1922*1923=3696006 and 19225^2 = 369600625 1923*1924=3699852 and 19235^2 = 369985225 1924*1925=3703700 and 19245^2 = 370370025 1925*1926=3707550 and 19255^2 = 370755025 1926*1927=3711402 and 19265^2 = 371140225 1927*1928=3715256 and 19275^2 = 371525625 1928*1929=3719112 and 19285^2 = 371911225 1929*1930=3722970 and 19295^2 = 372297025 1930*1931=3726830 and 19305^2 = 372683025 1931*1932=3730692 and 19315^2 = 373069225 1932*1933=3734556 and 19325^2 = 373455625 1933*1934=3738422 and 19335^2 = 373842225 1934*1935=3742290 and 19345^2 = 374229025 1935*1936=3746160 and 19355^2 = 374616025 1936*1937=3750032 and 19365^2 = 375003225 1937*1938=3753906 and 19375^2 = 375390625 1938*1939=3757782 and 19385^2 = 375778225 1939*1940=3761660 and 19395^2 = 376166025 1940*1941=3765540 and 19405^2 = 376554025 1941*1942=3769422 and 19415^2 = 376942225 1942*1943=3773306 and 19425^2 = 377330625 1943*1944=3777192 and 19435^2 = 377719225 1944*1945=3781080 and 19445^2 = 378108025 1945*1946=3784970 and 19455^2 = 378497025 1946*1947=3788862 and 19465^2 = 378886225 1947*1948=3792756 and 19475^2 = 379275625 1948*1949=3796652 and 19485^2 = 379665225 1949*1950=3800550 and 19495^2 = 380055025 1950*1951=3804450 and 19505^2 = 380445025 1951*1952=3808352 and 19515^2 = 380835225 1952*1953=3812256 and 19525^2 = 381225625 1953*1954=3816162 and 19535^2 = 381616225 1954*1955=3820070 and 19545^2 = 382007025 1955*1956=3823980 and 19555^2 = 382398025 1956*1957=3827892 and 19565^2 = 382789225 1957*1958=3831806 and 19575^2 = 383180625 1958*1959=3835722 and 19585^2 = 383572225 1959*1960=3839640 and 19595^2 = 383964025 1960*1961=3843560 and 19605^2 = 384356025 1961*1962=3847482 and 19615^2 = 384748225 1962*1963=3851406 and 19625^2 = 385140625 1963*1964=3855332 and 19635^2 = 385533225 1964*1965=3859260 and 19645^2 = 385926025 1965*1966=3863190 and 19655^2 = 386319025 1966*1967=3867122 and 19665^2 = 386712225 1967*1968=3871056 and 19675^2 = 387105625 1968*1969=3874992 and 19685^2 = 387499225 1969*1970=3878930 and 19695^2 = 387893025 1970*1971=3882870 and 19705^2 = 388287025 1971*1972=3886812 and 19715^2 = 388681225 1972*1973=3890756 and 19725^2 = 389075625 1973*1974=3894702 and 19735^2 = 389470225 1974*1975=3898650 and 19745^2 = 389865025 1975*1976=3902600 and 19755^2 = 390260025 1976*1977=3906552 and 19765^2 = 390655225 1977*1978=3910506 and 19775^2 = 391050625 1978*1979=3914462 and 19785^2 = 391446225 1979*1980=3918420 and 19795^2 = 391842025 1980*1981=3922380 and 19805^2 = 392238025 1981*1982=3926342 and 19815^2 = 392634225 1982*1983=3930306 and 19825^2 = 393030625 1983*1984=3934272 and 19835^2 = 393427225 1984*1985=3938240 and 19845^2 = 393824025 1985*1986=3942210 and 19855^2 = 394221025 1986*1987=3946182 and 19865^2 = 394618225 1987*1988=3950156 and 19875^2 = 395015625 1988*1989=3954132 and 19885^2 = 395413225 1989*1990=3958110 and 19895^2 = 395811025 1990*1991=3962090 and 19905^2 = 396209025 1991*1992=3966072 and 19915^2 = 396607225 1992*1993=3970056 and 19925^2 = 397005625 1993*1994=3974042 and 19935^2 = 397404225 1994*1995=3978030 and 19945^2 = 397803025 1995*1996=3982020 and 19955^2 = 398202025 1996*1997=3986012 and 19965^2 = 398601225 1997*1998=3990006 and 19975^2 = 399000625 1998*1999=3994002 and 19985^2 = 399400225 1999*2000=3998000 and 19995^2 = 399800025 Table 3 n^2 and Factorization of n^2+1 from 1 to 100 (Notice the numerous primes) 1^2= 1 and factors of 1+1 are Prime:([2, 1]) 2^2= 4 and factors of 4+1 are Prime:([5, 1]) 3^2= 9 and factors of 9+1 are [2, 1; 5, 1] 4^2= 16 and factors of 16+1 are Prime:([17, 1]) 5^2= 25 and factors of 25+1 are [2, 1; 13, 1] 6^2= 36 and factors of 36+1 are Prime:([37, 1]) 7^2= 49 and factors of 49+1 are [2, 1; 5, 2] 8^2= 64 and factors of 64+1 are [5, 1; 13, 1] 9^2= 81 and factors of 81+1 are [2, 1; 41, 1] 10^2= 100 and factors of 100+1 are Prime:([101, 1]) 11^2= 121 and factors of 121+1 are [2, 1; 61, 1] 12^2= 144 and factors of 144+1 are [5, 1; 29, 1] 13^2= 169 and factors of 169+1 are [2, 1; 5, 1; 17, 1] 14^2= 196 and factors of 196+1 are Prime:([197, 1]) 15^2= 225 and factors of 225+1 are [2, 1; 113, 1] 16^2= 256 and factors of 256+1 are Prime:([257, 1]) 17^2= 289 and factors of 289+1 are [2, 1; 5, 1; 29, 1] 18^2= 324 and factors of 324+1 are [5, 2; 13, 1] 19^2= 361 and factors of 361+1 are [2, 1; 181, 1] 20^2= 400 and factors of 400+1 are Prime:([401, 1]) 21^2= 441 and factors of 441+1 are [2, 1; 13, 1; 17, 1] 22^2= 484 and factors of 484+1 are [5, 1; 97, 1] 23^2= 529 and factors of 529+1 are [2, 1; 5, 1; 53, 1] 24^2= 576 and factors of 576+1 are Prime:([577, 1]) 25^2= 625 and factors of 625+1 are [2, 1; 313, 1] 26^2= 676 and factors of 676+1 are Prime:([677, 1]) 27^2= 729 and factors of 729+1 are [2, 1; 5, 1; 73, 1] 28^2= 784 and factors of 784+1 are [5, 1; 157, 1] 29^2= 841 and factors of 841+1 are [2, 1; 421, 1] 30^2= 900 and factors of 900+1 are [17, 1; 53, 1] 31^2= 961 and factors of 961+1 are [2, 1; 13, 1; 37, 1] 32^2= 1024 and factors of 1024+1 are [5, 2; 41, 1] 33^2= 1089 and factors of 1089+1 are [2, 1; 5, 1; 109, 1] 34^2= 1156 and factors of 1156+1 are [13, 1; 89, 1] 35^2= 1225 and factors of 1225+1 are [2, 1; 613, 1] 36^2= 1296 and factors of 1296+1 are Prime:([1297, 1]) 37^2= 1369 and factors of 1369+1 are [2, 1; 5, 1; 137, 1] 38^2= 1444 and factors of 1444+1 are [5, 1; 17, 2] 39^2= 1521 and factors of 1521+1 are [2, 1; 761, 1] 40^2= 1600 and factors of 1600+1 are Prime:([1601, 1]) 41^2= 1681 and factors of 1681+1 are [2, 1; 29, 2] 42^2= 1764 and factors of 1764+1 are [5, 1; 353, 1] 43^2= 1849 and factors of 1849+1 are [2, 1; 5, 2; 37, 1] 44^2= 1936 and factors of 1936+1 are [13, 1; 149, 1] 45^2= 2025 and factors of 2025+1 are [2, 1; 1013, 1] 46^2= 2116 and factors of 2116+1 are [29, 1; 73, 1] 47^2= 2209 and factors of 2209+1 are [2, 1; 5, 1; 13, 1; 17, 1] 48^2= 2304 and factors of 2304+1 are [5, 1; 461, 1] 49^2= 2401 and factors of 2401+1 are [2, 1; 1201, 1] 50^2= 2500 and factors of 2500+1 are [41, 1; 61, 1] 51^2= 2601 and factors of 2601+1 are [2, 1; 1301, 1] 52^2= 2704 and factors of 2704+1 are [5, 1; 541, 1] 53^2= 2809 and factors of 2809+1 are [2, 1; 5, 1; 281, 1] 54^2= 2916 and factors of 2916+1 are Prime:([2917, 1]) 55^2= 3025 and factors of 3025+1 are [2, 1; 17, 1; 89, 1] 56^2= 3136 and factors of 3136+1 are Prime:([3137, 1]) 57^2= 3249 and factors of 3249+1 are [2, 1; 5, 3; 13, 1] 58^2= 3364 and factors of 3364+1 are [5, 1; 673, 1] 59^2= 3481 and factors of 3481+1 are [2, 1; 1741, 1] 60^2= 3600 and factors of 3600+1 are [13, 1; 277, 1] 61^2= 3721 and factors of 3721+1 are [2, 1; 1861, 1] 62^2= 3844 and factors of 3844+1 are [5, 1; 769, 1] 63^2= 3969 and factors of 3969+1 are [2, 1; 5, 1; 397, 1] 64^2= 4096 and factors of 4096+1 are [17, 1; 241, 1] 65^2= 4225 and factors of 4225+1 are [2, 1; 2113, 1] 66^2= 4356 and factors of 4356+1 are Prime:([4357, 1]) 67^2= 4489 and factors of 4489+1 are [2, 1; 5, 1; 449, 1] 68^2= 4624 and factors of 4624+1 are [5, 3; 37, 1] 69^2= 4761 and factors of 4761+1 are [2, 1; 2381, 1] 70^2= 4900 and factors of 4900+1 are [13, 2; 29, 1] 71^2= 5041 and factors of 5041+1 are [2, 1; 2521, 1] 72^2= 5184 and factors of 5184+1 are [5, 1; 17, 1; 61, 1] 73^2= 5329 and factors of 5329+1 are [2, 1; 5, 1; 13, 1; 41, 1] 74^2= 5476 and factors of 5476+1 are Prime:([5477, 1]) 75^2= 5625 and factors of 5625+1 are [2, 1; 29, 1; 97, 1] 76^2= 5776 and factors of 5776+1 are [53, 1; 109, 1] 77^2= 5929 and factors of 5929+1 are [2, 1; 5, 1; 593, 1] 78^2= 6084 and factors of 6084+1 are [5, 1; 1217, 1] 79^2= 6241 and factors of 6241+1 are [2, 1; 3121, 1] 80^2= 6400 and factors of 6400+1 are [37, 1; 173, 1] 81^2= 6561 and factors of 6561+1 are [2, 1; 17, 1; 193, 1] 82^2= 6724 and factors of 6724+1 are [5, 2; 269, 1] 83^2= 6889 and factors of 6889+1 are [2, 1; 5, 1; 13, 1; 53, 1] 84^2= 7056 and factors of 7056+1 are Prime:([7057, 1]) 85^2= 7225 and factors of 7225+1 are [2, 1; 3613, 1] 86^2= 7396 and factors of 7396+1 are [13, 1; 569, 1] 87^2= 7569 and factors of 7569+1 are [2, 1; 5, 1; 757, 1] 88^2= 7744 and factors of 7744+1 are [5, 1; 1549, 1] 89^2= 7921 and factors of 7921+1 are [2, 1; 17, 1; 233, 1] 90^2= 8100 and factors of 8100+1 are Prime:([8101, 1]) 91^2= 8281 and factors of 8281+1 are [2, 1; 41, 1; 101, 1] 92^2= 8464 and factors of 8464+1 are [5, 1; 1693, 1] 93^2= 8649 and factors of 8649+1 are [2, 1; 5, 2; 173, 1] 94^2= 8836 and factors of 8836+1 are Prime:([8837, 1]) 95^2= 9025 and factors of 9025+1 are [2, 1; 4513, 1] 96^2= 9216 and factors of 9216+1 are [13, 1; 709, 1] 97^2= 9409 and factors of 9409+1 are [2, 1; 5, 1; 941, 1] 98^2= 9604 and factors of 9604+1 are [5, 1; 17, 1; 113, 1] 99^2= 9801 and factors of 9801+1 are [2, 1; 13, 2; 29, 1] 100^2= 10000 and factors of 10000+1 are [73, 1; 137, 1] Table 3 n^2 and Factorization of n^2+1 from 9000 to 10,000 (Notice the numerous primes) 9000^2= 81000000 and factors of 81000000+1 are Prime:([81000001, 1]) 9001^2= 81018001 and factors of 81018001+1 are [2, 1; 13, 1; 3116077, 1] 9002^2= 81036004 and factors of 81036004+1 are [5, 1; 29, 1; 558869, 1] 9003^2= 81054009 and factors of 81054009+1 are [2, 1; 5, 1; 8105401, 1] 9004^2= 81072016 and factors of 81072016+1 are [13, 1; 6236309, 1] 9005^2= 81090025 and factors of 81090025+1 are [2, 1; 137, 1; 295949, 1] 9006^2= 81108036 and factors of 81108036+1 are [17, 1; 73, 1; 65357, 1] 9007^2= 81126049 and factors of 81126049+1 are [2, 1; 5, 2; 29, 1; 55949, 1] 9008^2= 81144064 and factors of 81144064+1 are [5, 1; 16228813, 1] 9009^2= 81162081 and factors of 81162081+1 are [2, 1; 40581041, 1] 9010^2= 81180100 and factors of 81180100+1 are Prime:([81180101, 1]) 9011^2= 81198121 and factors of 81198121+1 are [2, 1; 41, 1; 257, 1; 3853, 1] 9012^2= 81216144 and factors of 81216144+1 are [5, 1; 16243229, 1] 9013^2= 81234169 and factors of 81234169+1 are [2, 1; 5, 1; 8123417, 1] 9014^2= 81252196 and factors of 81252196+1 are [13, 1; 17, 1; 109, 1; 3373, 1] 9015^2= 81270225 and factors of 81270225+1 are [2, 1; 1049, 1; 38737, 1] 9016^2= 81288256 and factors of 81288256+1 are Prime:([81288257, 1]) 9017^2= 81306289 and factors of 81306289+1 are [2, 1; 5, 1; 13, 1; 61, 1; 10253, 1] 9018^2= 81324324 and factors of 81324324+1 are [5, 2; 569, 1; 5717, 1] 9019^2= 81342361 and factors of 81342361+1 are [2, 1; 953, 1; 42677, 1] 9020^2= 81360400 and factors of 81360400+1 are Prime:([81360401, 1]) 9021^2= 81378441 and factors of 81378441+1 are [2, 1; 40689221, 1] 9022^2= 81396484 and factors of 81396484+1 are [5, 1; 37, 1; 439981, 1] 9023^2= 81414529 and factors of 81414529+1 are [2, 1; 5, 1; 17, 1; 89, 1; 5381, 1] 9024^2= 81432576 and factors of 81432576+1 are Prime:([81432577, 1]) 9025^2= 81450625 and factors of 81450625+1 are [2, 1; 73, 1; 113, 1; 4937, 1] 9026^2= 81468676 and factors of 81468676+1 are [2713, 1; 30029, 1] 9027^2= 81486729 and factors of 81486729+1 are [2, 1; 5, 1; 13, 3; 3709, 1] 9028^2= 81504784 and factors of 81504784+1 are [5, 1; 16300957, 1] 9029^2= 81522841 and factors of 81522841+1 are [2, 1; 41, 1; 994181, 1] 9030^2= 81540900 and factors of 81540900+1 are [13, 1; 557, 1; 11261, 1] 9031^2= 81558961 and factors of 81558961+1 are [2, 1; 17, 1; 29, 1; 181, 1; 457, 1] 9032^2= 81577024 and factors of 81577024+1 are [5, 2; 3263081, 1] 9033^2= 81595089 and factors of 81595089+1 are [2, 1; 5, 1; 53, 1; 153953, 1] 9034^2= 81613156 and factors of 81613156+1 are [37, 1; 2205761, 1] 9035^2= 81631225 and factors of 81631225+1 are [2, 1; 4877, 1; 8369, 1] 9036^2= 81649296 and factors of 81649296+1 are [29, 1; 2815493, 1] 9037^2= 81667369 and factors of 81667369+1 are [2, 1; 5, 1; 8166737, 1] 9038^2= 81685444 and factors of 81685444+1 are [5, 1; 229, 1; 71341, 1] 9039^2= 81703521 and factors of 81703521+1 are [2, 1; 61, 1; 669701, 1] 9040^2= 81721600 and factors of 81721600+1 are [13, 1; 17, 1; 53, 1; 6977, 1] 9041^2= 81739681 and factors of 81739681+1 are [2, 1; 40869841, 1] 9042^2= 81757764 and factors of 81757764+1 are [5, 1; 16351553, 1] 9043^2= 81775849 and factors of 81775849+1 are [2, 1; 5, 2; 13, 1; 97, 1; 1297, 1] 9044^2= 81793936 and factors of 81793936+1 are [89, 1; 919033, 1] 9045^2= 81812025 and factors of 81812025+1 are [2, 1; 149, 1; 281, 1; 977, 1] 9046^2= 81830116 and factors of 81830116+1 are Prime:([81830117, 1]) 9047^2= 81848209 and factors of 81848209+1 are [2, 1; 5, 1; 449, 1; 18229, 1] 9048^2= 81866304 and factors of 81866304+1 are [5, 1; 17, 1; 197, 1; 4889, 1] 9049^2= 81884401 and factors of 81884401+1 are [2, 1; 40942201, 1] 9050^2= 81902500 and factors of 81902500+1 are [853, 1; 96017, 1] 9051^2= 81920601 and factors of 81920601+1 are [2, 1; 40960301, 1] 9052^2= 81938704 and factors of 81938704+1 are [5, 1; 41, 1; 313, 1; 1277, 1] 9053^2= 81956809 and factors of 81956809+1 are [2, 1; 5, 1; 13, 1; 229, 1; 2753, 1] 9054^2= 81974916 and factors of 81974916+1 are Prime:([81974917, 1]) 9055^2= 81993025 and factors of 81993025+1 are [2, 1; 113, 1; 362801, 1] 9056^2= 82011136 and factors of 82011136+1 are [13, 2; 373, 1; 1301, 1] 9057^2= 82029249 and factors of 82029249+1 are [2, 1; 5, 3; 17, 1; 19301, 1] 9058^2= 82047364 and factors of 82047364+1 are [5, 1; 16409473, 1] 9059^2= 82065481 and factors of 82065481+1 are [2, 1; 37, 1; 1108993, 1] 9060^2= 82083600 and factors of 82083600+1 are [29, 1; 2830469, 1] 9061^2= 82101721 and factors of 82101721+1 are [2, 1; 617, 1; 66533, 1] 9062^2= 82119844 and factors of 82119844+1 are [5, 1; 389, 1; 42221, 1] 9063^2= 82137969 and factors of 82137969+1 are [2, 1; 5, 1; 8213797, 1] 9064^2= 82156096 and factors of 82156096+1 are [269, 1; 305413, 1] 9065^2= 82174225 and factors of 82174225+1 are [2, 1; 17, 1; 29, 1; 83341, 1] 9066^2= 82192356 and factors of 82192356+1 are [13, 1; 6322489, 1] 9067^2= 82210489 and factors of 82210489+1 are [2, 1; 5, 1; 1933, 1; 4253, 1] 9068^2= 82228624 and factors of 82228624+1 are [5, 3; 397, 1; 1657, 1] 9069^2= 82246761 and factors of 82246761+1 are [2, 1; 13, 1; 181, 1; 17477, 1] 9070^2= 82264900 and factors of 82264900+1 are [41, 1; 2006461, 1] 9071^2= 82283041 and factors of 82283041+1 are [2, 1; 37, 1; 1111933, 1] 9072^2= 82301184 and factors of 82301184+1 are [5, 1; 1013, 1; 16249, 1] 9073^2= 82319329 and factors of 82319329+1 are [2, 1; 5, 1; 8231933, 1] 9074^2= 82337476 and factors of 82337476+1 are [17, 1; 4843381, 1] 9075^2= 82355625 and factors of 82355625+1 are [2, 1; 1733, 1; 23761, 1] 9076^2= 82373776 and factors of 82373776+1 are [173, 1; 197, 1; 2417, 1] 9077^2= 82391929 and factors of 82391929+1 are [2, 1; 5, 1; 8239193, 1] 9078^2= 82410084 and factors of 82410084+1 are [5, 1; 61, 1; 157, 1; 1721, 1] 9079^2= 82428241 and factors of 82428241+1 are [2, 1; 13, 1; 73, 1; 137, 1; 317, 1] 9080^2= 82446400 and factors of 82446400+1 are [101, 1; 109, 1; 7489, 1] 9081^2= 82464561 and factors of 82464561+1 are [2, 1; 277, 1; 148853, 1] 9082^2= 82482724 and factors of 82482724+1 are [5, 2; 13, 1; 17, 1; 14929, 1] 9083^2= 82500889 and factors of 82500889+1 are [2, 1; 5, 1; 8250089, 1] 9084^2= 82519056 and factors of 82519056+1 are [1153, 1; 71569, 1] 9085^2= 82537225 and factors of 82537225+1 are [2, 1; 41268613, 1] 9086^2= 82555396 and factors of 82555396+1 are [53, 1; 1557649, 1] 9087^2= 82573569 and factors of 82573569+1 are [2, 1; 5, 1; 8257357, 1] 9088^2= 82591744 and factors of 82591744+1 are [5, 1; 953, 1; 17333, 1] 9089^2= 82609921 and factors of 82609921+1 are [2, 1; 29, 1; 173, 1; 8233, 1] 9090^2= 82628100 and factors of 82628100+1 are [4621, 1; 17881, 1] 9091^2= 82646281 and factors of 82646281+1 are [2, 1; 17, 1; 2430773, 1] 9092^2= 82664464 and factors of 82664464+1 are [5, 1; 13, 1; 521, 1; 2441, 1] 9093^2= 82682649 and factors of 82682649+1 are [2, 1; 5, 2; 41, 1; 53, 1; 761, 1] 9094^2= 82700836 and factors of 82700836+1 are [29, 1; 241, 1; 11833, 1] 9095^2= 82719025 and factors of 82719025+1 are [2, 1; 13, 1; 3181501, 1] 9096^2= 82737216 and factors of 82737216+1 are [37, 1; 97, 1; 23053, 1] 9097^2= 82755409 and factors of 82755409+1 are [2, 1; 5, 1; 8275541, 1] 9098^2= 82773604 and factors of 82773604+1 are [5, 1; 73, 1; 226777, 1] 9099^2= 82791801 and factors of 82791801+1 are [2, 1; 17, 1; 2435053, 1] 9100^2= 82810000 and factors of 82810000+1 are [61, 1; 101, 1; 13441, 1] 9101^2= 82828201 and factors of 82828201+1 are [2, 1; 41414101, 1] 9102^2= 82846404 and factors of 82846404+1 are [5, 1; 313, 1; 52937, 1] 9103^2= 82864609 and factors of 82864609+1 are [2, 1; 5, 1; 8286461, 1] 9104^2= 82882816 and factors of 82882816+1 are [5741, 1; 14437, 1] 9105^2= 82901025 and factors of 82901025+1 are [2, 1; 13, 1; 3188501, 1] 9106^2= 82919236 and factors of 82919236+1 are [4289, 1; 19333, 1] 9107^2= 82937449 and factors of 82937449+1 are [2, 1; 5, 2; 1658749, 1] 9108^2= 82955664 and factors of 82955664+1 are [5, 1; 13, 1; 17, 1; 37, 1; 2029, 1] 9109^2= 82973881 and factors of 82973881+1 are [2, 1; 41486941, 1] 9110^2= 82992100 and factors of 82992100+1 are [6673, 1; 12437, 1] 9111^2= 83010321 and factors of 83010321+1 are [2, 1; 41, 1; 1012321, 1] 9112^2= 83028544 and factors of 83028544+1 are [5, 1; 89, 1; 186581, 1] 9113^2= 83046769 and factors of 83046769+1 are [2, 1; 5, 1; 8304677, 1] 9114^2= 83064996 and factors of 83064996+1 are [1889, 1; 43973, 1] 9115^2= 83083225 and factors of 83083225+1 are [2, 1; 1297, 1; 32029, 1] 9116^2= 83101456 and factors of 83101456+1 are [17, 1; 4888321, 1] 9117^2= 83119689 and factors of 83119689+1 are [2, 1; 5, 1; 1097, 1; 7577, 1] 9118^2= 83137924 and factors of 83137924+1 are [5, 2; 13, 1; 29, 1; 8821, 1] 9119^2= 83156161 and factors of 83156161+1 are [2, 1; 41578081, 1] 9120^2= 83174400 and factors of 83174400+1 are Prime:([83174401, 1]) 9121^2= 83192641 and factors of 83192641+1 are [2, 1; 13, 1; 709, 1; 4513, 1] 9122^2= 83210884 and factors of 83210884+1 are [5, 1; 16642177, 1] 9123^2= 83229129 and factors of 83229129+1 are [2, 1; 5, 1; 29, 1; 109, 1; 2633, 1] 9124^2= 83247376 and factors of 83247376+1 are Prime:([83247377, 1]) 9125^2= 83265625 and factors of 83265625+1 are [2, 1; 17, 1; 2448989, 1] 9126^2= 83283876 and factors of 83283876+1 are Prime:([83283877, 1]) 9127^2= 83302129 and factors of 83302129+1 are [2, 1; 5, 1; 8330213, 1] 9128^2= 83320384 and factors of 83320384+1 are [5, 1; 641, 1; 25997, 1] 9129^2= 83338641 and factors of 83338641+1 are [2, 1; 5573, 1; 7477, 1] 9130^2= 83356900 and factors of 83356900+1 are [6737, 1; 12373, 1] 9131^2= 83375161 and factors of 83375161+1 are [2, 1; 13, 1; 1609, 1; 1993, 1] 9132^2= 83393424 and factors of 83393424+1 are [5, 2; 3335737, 1] 9133^2= 83411689 and factors of 83411689+1 are [2, 1; 5, 1; 17, 1; 37, 1; 89, 1; 149, 1] 9134^2= 83429956 and factors of 83429956+1 are [13, 1; 41, 1; 157, 1; 997, 1] 9135^2= 83448225 and factors of 83448225+1 are [2, 1; 41724113, 1] 9136^2= 83466496 and factors of 83466496+1 are [353, 1; 236449, 1] 9137^2= 83484769 and factors of 83484769+1 are [2, 1; 5, 1; 8348477, 1] 9138^2= 83503044 and factors of 83503044+1 are [5, 1; 113, 1; 147793, 1] 9139^2= 83521321 and factors of 83521321+1 are [2, 1; 53, 1; 61, 1; 12917, 1] 9140^2= 83539600 and factors of 83539600+1 are [97, 1; 601, 1; 1433, 1] 9141^2= 83557881 and factors of 83557881+1 are [2, 1; 409, 1; 102149, 1] 9142^2= 83576164 and factors of 83576164+1 are [5, 1; 17, 1; 137, 1; 7177, 1] 9143^2= 83594449 and factors of 83594449+1 are [2, 1; 5, 2; 521, 1; 3209, 1] 9144^2= 83612736 and factors of 83612736+1 are [13, 1; 6431749, 1] 9145^2= 83631025 and factors of 83631025+1 are [2, 1; 37, 1; 541, 1; 2089, 1] 9146^2= 83649316 and factors of 83649316+1 are [53, 1; 1578289, 1] 9147^2= 83667609 and factors of 83667609+1 are [2, 1; 5, 1; 13, 1; 29, 1; 22193, 1] 9148^2= 83685904 and factors of 83685904+1 are [5, 1; 661, 1; 25321, 1] 9149^2= 83704201 and factors of 83704201+1 are [2, 1; 733, 1; 57097, 1] 9150^2= 83722500 and factors of 83722500+1 are [17, 1; 1117, 1; 4409, 1] 9151^2= 83740801 and factors of 83740801+1 are [2, 1; 41870401, 1] 9152^2= 83759104 and factors of 83759104+1 are [5, 1; 29, 1; 41, 1; 73, 1; 193, 1] 9153^2= 83777409 and factors of 83777409+1 are [2, 1; 5, 1; 2029, 1; 4129, 1] 9154^2= 83795716 and factors of 83795716+1 are Prime:([83795717, 1]) 9155^2= 83814025 and factors of 83814025+1 are [2, 1; 41907013, 1] 9156^2= 83832336 and factors of 83832336+1 are [1949, 1; 43013, 1] 9157^2= 83850649 and factors of 83850649+1 are [2, 1; 5, 2; 13, 1; 129001, 1] 9158^2= 83868964 and factors of 83868964+1 are [5, 1; 1301, 1; 12893, 1] 9159^2= 83887281 and factors of 83887281+1 are [2, 1; 17, 1; 1489, 1; 1657, 1] 9160^2= 83905600 and factors of 83905600+1 are [13, 1; 613, 1; 10529, 1] 9161^2= 83923921 and factors of 83923921+1 are [2, 1; 61, 1; 687901, 1] 9162^2= 83942244 and factors of 83942244+1 are [5, 1; 1013, 1; 16573, 1] 9163^2= 83960569 and factors of 83960569+1 are [2, 1; 5, 1; 8396057, 1] 9164^2= 83978896 and factors of 83978896+1 are Prime:([83978897, 1]) 9165^2= 83997225 and factors of 83997225+1 are [2, 1; 41998613, 1] 9166^2= 84015556 and factors of 84015556+1 are [769, 1; 109253, 1] 9167^2= 84033889 and factors of 84033889+1 are [2, 1; 5, 1; 17, 1; 494317, 1] 9168^2= 84052224 and factors of 84052224+1 are [5, 2; 113, 1; 29753, 1] 9169^2= 84070561 and factors of 84070561+1 are [2, 1; 42035281, 1] 9170^2= 84088900 and factors of 84088900+1 are [13, 1; 37, 1; 174821, 1] 9171^2= 84107241 and factors of 84107241+1 are [2, 1; 73, 1; 757, 1; 761, 1] 9172^2= 84125584 and factors of 84125584+1 are [5, 1; 461, 1; 36497, 1] 9173^2= 84143929 and factors of 84143929+1 are [2, 1; 5, 1; 13, 1; 647261, 1] 9174^2= 84162276 and factors of 84162276+1 are [937, 1; 89821, 1] 9175^2= 84180625 and factors of 84180625+1 are [2, 1; 41, 1; 1026593, 1] 9176^2= 84198976 and factors of 84198976+1 are [17, 1; 29, 1; 233, 1; 733, 1] 9177^2= 84217329 and factors of 84217329+1 are [2, 1; 5, 1; 8421733, 1] 9178^2= 84235684 and factors of 84235684+1 are [5, 1; 16847137, 1] 9179^2= 84254041 and factors of 84254041+1 are [2, 1; 42127021, 1] 9180^2= 84272400 and factors of 84272400+1 are Prime:([84272401, 1]) 9181^2= 84290761 and factors of 84290761+1 are [2, 1; 29, 1; 101, 1; 14389, 1] 9182^2= 84309124 and factors of 84309124+1 are [5, 3; 37, 1; 18229, 1] 9183^2= 84327489 and factors of 84327489+1 are [2, 1; 5, 1; 13, 1; 193, 1; 3361, 1] 9184^2= 84345856 and factors of 84345856+1 are [17, 1; 4961521, 1] 9185^2= 84364225 and factors of 84364225+1 are [2, 1; 42182113, 1] 9186^2= 84382596 and factors of 84382596+1 are [13, 1; 6490969, 1] 9187^2= 84400969 and factors of 84400969+1 are [2, 1; 5, 1; 8440097, 1] 9188^2= 84419344 and factors of 84419344+1 are [5, 1; 16883869, 1] 9189^2= 84437721 and factors of 84437721+1 are [2, 1; 109, 1; 387329, 1] 9190^2= 84456100 and factors of 84456100+1 are [569, 1; 148429, 1] 9191^2= 84474481 and factors of 84474481+1 are [2, 1; 42237241, 1] 9192^2= 84492864 and factors of 84492864+1 are [5, 1; 53, 1; 318841, 1] 9193^2= 84511249 and factors of 84511249+1 are [2, 1; 5, 4; 17, 1; 41, 1; 97, 1] 9194^2= 84529636 and factors of 84529636+1 are [149, 1; 397, 1; 1429, 1] 9195^2= 84548025 and factors of 84548025+1 are [2, 1; 42274013, 1] 9196^2= 84566416 and factors of 84566416+1 are [13, 2; 500393, 1] 9197^2= 84584809 and factors of 84584809+1 are [2, 1; 5, 1; 881, 1; 9601, 1] 9198^2= 84603204 and factors of 84603204+1 are [5, 1; 16920641, 1] 9199^2= 84621601 and factors of 84621601+1 are [2, 1; 13, 1; 53, 1; 61409, 1] 9200^2= 84640000 and factors of 84640000+1 are [61, 1; 1129, 1; 1229, 1] 9201^2= 84658401 and factors of 84658401+1 are [2, 1; 17, 1; 89, 1; 101, 1; 277, 1] 9202^2= 84676804 and factors of 84676804+1 are [5, 1; 16935361, 1] 9203^2= 84695209 and factors of 84695209+1 are [2, 1; 5, 1; 401, 1; 21121, 1] 9204^2= 84713616 and factors of 84713616+1 are Prime:([84713617, 1]) 9205^2= 84732025 and factors of 84732025+1 are [2, 1; 29, 1; 1181, 1; 1237, 1] 9206^2= 84750436 and factors of 84750436+1 are [1549, 1; 54713, 1] 9207^2= 84768849 and factors of 84768849+1 are [2, 1; 5, 2; 37, 1; 45821, 1] 9208^2= 84787264 and factors of 84787264+1 are [5, 1; 577, 1; 29389, 1] 9209^2= 84805681 and factors of 84805681+1 are [2, 1; 13, 1; 1213, 1; 2689, 1] 9210^2= 84824100 and factors of 84824100+1 are [17, 2; 29, 2; 349, 1] 9211^2= 84842521 and factors of 84842521+1 are [2, 1; 2341, 1; 18121, 1] 9212^2= 84860944 and factors of 84860944+1 are [5, 1; 13, 1; 181, 1; 7213, 1] 9213^2= 84879369 and factors of 84879369+1 are [2, 1; 5, 1; 8487937, 1] 9214^2= 84897796 and factors of 84897796+1 are Prime:([84897797, 1]) 9215^2= 84916225 and factors of 84916225+1 are [2, 1; 1453, 1; 29221, 1] 9216^2= 84934656 and factors of 84934656+1 are [41, 1; 137, 1; 15121, 1] 9217^2= 84953089 and factors of 84953089+1 are [2, 1; 5, 1; 809, 1; 10501, 1] 9218^2= 84971524 and factors of 84971524+1 are [5, 2; 17, 1; 199933, 1] 9219^2= 84989961 and factors of 84989961+1 are [2, 1; 37, 1; 1148513, 1] 9220^2= 85008400 and factors of 85008400+1 are [281, 1; 353, 1; 857, 1] 9221^2= 85026841 and factors of 85026841+1 are [2, 1; 293, 1; 373, 1; 389, 1] 9222^2= 85045284 and factors of 85045284+1 are [5, 1; 13, 1; 61, 1; 89, 1; 241, 1] 9223^2= 85063729 and factors of 85063729+1 are [2, 1; 5, 1; 8506373, 1] 9224^2= 85082176 and factors of 85082176+1 are [2333, 1; 36469, 1] 9225^2= 85100625 and factors of 85100625+1 are [2, 1; 13, 2; 73, 1; 3449, 1] 9226^2= 85119076 and factors of 85119076+1 are [1109, 1; 76753, 1] 9227^2= 85137529 and factors of 85137529+1 are [2, 1; 5, 1; 17, 1; 500809, 1] 9228^2= 85155984 and factors of 85155984+1 are [5, 1; 269, 1; 63313, 1] 9229^2= 85174441 and factors of 85174441+1 are [2, 1; 4861, 1; 8761, 1] 9230^2= 85192900 and factors of 85192900+1 are [613, 1; 138977, 1] 9231^2= 85211361 and factors of 85211361+1 are [2, 1; 233, 1; 182857, 1] 9232^2= 85229824 and factors of 85229824+1 are [5, 2; 109, 1; 31277, 1] 9233^2= 85248289 and factors of 85248289+1 are [2, 1; 5, 1; 421, 1; 20249, 1] 9234^2= 85266756 and factors of 85266756+1 are [29, 1; 41, 1; 71713, 1] 9235^2= 85285225 and factors of 85285225+1 are [2, 1; 13, 1; 17, 1; 157, 1; 1229, 1] 9236^2= 85303696 and factors of 85303696+1 are [257, 1; 331921, 1] 9237^2= 85322169 and factors of 85322169+1 are [2, 1; 5, 1; 97, 1; 87961, 1] 9238^2= 85340644 and factors of 85340644+1 are [5, 1; 13, 1; 293, 1; 4481, 1] 9239^2= 85359121 and factors of 85359121+1 are [2, 1; 29, 1; 1471709, 1] 9240^2= 85377600 and factors of 85377600+1 are Prime:([85377601, 1]) 9241^2= 85396081 and factors of 85396081+1 are [2, 1; 42698041, 1] 9242^2= 85414564 and factors of 85414564+1 are [5, 1; 17082913, 1] 9243^2= 85433049 and factors of 85433049+1 are [2, 1; 5, 2; 401, 1; 4261, 1] 9244^2= 85451536 and factors of 85451536+1 are [17, 1; 37, 1; 73, 1; 1861, 1] 9245^2= 85470025 and factors of 85470025+1 are [2, 1; 53, 1; 197, 1; 4093, 1] 9246^2= 85488516 and factors of 85488516+1 are Prime:([85488517, 1]) 9247^2= 85507009 and factors of 85507009+1 are [2, 1; 5, 1; 337, 1; 25373, 1] 9248^2= 85525504 and factors of 85525504+1 are [5, 1; 13, 1; 701, 1; 1877, 1] 9249^2= 85544001 and factors of 85544001+1 are [2, 1; 173, 1; 457, 1; 541, 1] 9250^2= 85562500 and factors of 85562500+1 are [181, 1; 472721, 1] 9251^2= 85581001 and factors of 85581001+1 are [2, 1; 13, 1; 113, 1; 29129, 1] 9252^2= 85599504 and factors of 85599504+1 are [5, 1; 17, 1; 53, 1; 19001, 1] 9253^2= 85618009 and factors of 85618009+1 are [2, 1; 5, 1; 8561801, 1] 9254^2= 85636516 and factors of 85636516+1 are [5689, 1; 15053, 1] 9255^2= 85655025 and factors of 85655025+1 are [2, 1; 42827513, 1] 9256^2= 85673536 and factors of 85673536+1 are [37, 1; 577, 1; 4013, 1] 9257^2= 85692049 and factors of 85692049+1 are [2, 1; 5, 2; 41, 1; 41801, 1] 9258^2= 85710564 and factors of 85710564+1 are [5, 1; 17142113, 1] 9259^2= 85729081 and factors of 85729081+1 are [2, 1; 42864541, 1] 9260^2= 85747600 and factors of 85747600+1 are Prime:([85747601, 1]) 9261^2= 85766121 and factors of 85766121+1 are [2, 1; 13, 1; 17, 1; 61, 1; 3181, 1] 9262^2= 85784644 and factors of 85784644+1 are [5, 1; 173, 1; 99173, 1] 9263^2= 85803169 and factors of 85803169+1 are [2, 1; 5, 1; 29, 1; 295873, 1] 9264^2= 85821696 and factors of 85821696+1 are [13, 1; 409, 1; 16141, 1] 9265^2= 85840225 and factors of 85840225+1 are [2, 1; 42920113, 1] 9266^2= 85858756 and factors of 85858756+1 are Prime:([85858757, 1]) 9267^2= 85877289 and factors of 85877289+1 are [2, 1; 5, 1; 229, 1; 37501, 1] 9268^2= 85895824 and factors of 85895824+1 are [5, 2; 29, 1; 257, 1; 461, 1] 9269^2= 85914361 and factors of 85914361+1 are [2, 1; 17, 1; 2526893, 1] 9270^2= 85932900 and factors of 85932900+1 are Prime:([85932901, 1]) 9271^2= 85951441 and factors of 85951441+1 are [2, 1; 2389, 1; 17989, 1] 9272^2= 85969984 and factors of 85969984+1 are [5, 1; 433, 1; 39709, 1] 9273^2= 85988529 and factors of 85988529+1 are [2, 1; 5, 1; 197, 1; 43649, 1] 9274^2= 86007076 and factors of 86007076+1 are [13, 1; 1093, 1; 6053, 1] 9275^2= 86025625 and factors of 86025625+1 are [2, 1; 41, 1; 1049093, 1] 9276^2= 86044176 and factors of 86044176+1 are Prime:([86044177, 1]) 9277^2= 86062729 and factors of 86062729+1 are [2, 1; 5, 1; 13, 1; 662021, 1] 9278^2= 86081284 and factors of 86081284+1 are [5, 1; 17, 1; 1012721, 1] 9279^2= 86099841 and factors of 86099841+1 are [2, 1; 137, 1; 314233, 1] 9280^2= 86118400 and factors of 86118400+1 are Prime:([86118401, 1]) 9281^2= 86136961 and factors of 86136961+1 are [2, 1; 37, 1; 113, 1; 10301, 1] 9282^2= 86155524 and factors of 86155524+1 are [5, 2; 101, 1; 149, 1; 229, 1] 9283^2= 86174089 and factors of 86174089+1 are [2, 1; 5, 1; 61, 1; 141269, 1] 9284^2= 86192656 and factors of 86192656+1 are [3121, 1; 27617, 1] 9285^2= 86211225 and factors of 86211225+1 are [2, 1; 43105613, 1] 9286^2= 86229796 and factors of 86229796+1 are [17, 2; 298373, 1] 9287^2= 86248369 and factors of 86248369+1 are [2, 1; 5, 1; 13, 1; 349, 1; 1901, 1] 9288^2= 86266944 and factors of 86266944+1 are [5, 1; 337, 1; 51197, 1] 9289^2= 86285521 and factors of 86285521+1 are [2, 1; 2729, 1; 15809, 1] 9290^2= 86304100 and factors of 86304100+1 are [13, 1; 89, 1; 97, 1; 769, 1] 9291^2= 86322681 and factors of 86322681+1 are [2, 1; 157, 1; 421, 1; 653, 1] 9292^2= 86341264 and factors of 86341264+1 are [5, 1; 29, 2; 20533, 1] 9293^2= 86359849 and factors of 86359849+1 are [2, 1; 5, 2; 37, 1; 46681, 1] 9294^2= 86378436 and factors of 86378436+1 are Prime:([86378437, 1]) 9295^2= 86397025 and factors of 86397025+1 are [2, 1; 17, 1; 2541089, 1] 9296^2= 86415616 and factors of 86415616+1 are [5077, 1; 17021, 1] 9297^2= 86434209 and factors of 86434209+1 are [2, 1; 5, 1; 29, 1; 298049, 1] 9298^2= 86452804 and factors of 86452804+1 are [5, 1; 41, 1; 53, 1; 73, 1; 109, 1] 9299^2= 86471401 and factors of 86471401+1 are [2, 1; 4397, 1; 9833, 1] 9300^2= 86490000 and factors of 86490000+1 are [13, 1; 6653077, 1] 9301^2= 86508601 and factors of 86508601+1 are [2, 1; 1381, 1; 31321, 1] 9302^2= 86527204 and factors of 86527204+1 are [5, 1; 101, 1; 171341, 1] 9303^2= 86545809 and factors of 86545809+1 are [2, 1; 5, 1; 13, 1; 17, 1; 39161, 1] 9304^2= 86564416 and factors of 86564416+1 are [881, 1; 98257, 1] 9305^2= 86583025 and factors of 86583025+1 are [2, 1; 53, 1; 816821, 1] 9306^2= 86601636 and factors of 86601636+1 are [4349, 1; 19913, 1] 9307^2= 86620249 and factors of 86620249+1 are [2, 1; 5, 3; 317, 1; 1093, 1] 9308^2= 86638864 and factors of 86638864+1 are [5, 1; 2633, 1; 6581, 1] 9309^2= 86657481 and factors of 86657481+1 are [2, 1; 43328741, 1] 9310^2= 86676100 and factors of 86676100+1 are Prime:([86676101, 1]) 9311^2= 86694721 and factors of 86694721+1 are [2, 1; 89, 1; 487049, 1] 9312^2= 86713344 and factors of 86713344+1 are [5, 1; 17, 1; 1020157, 1] 9313^2= 86731969 and factors of 86731969+1 are [2, 1; 5, 1; 13, 1; 709, 1; 941, 1] 9314^2= 86750596 and factors of 86750596+1 are Prime:([86750597, 1]) 9315^2= 86769225 and factors of 86769225+1 are [2, 1; 43384613, 1] 9316^2= 86787856 and factors of 86787856+1 are [13, 1; 41, 1; 162829, 1] 9317^2= 86806489 and factors of 86806489+1 are [2, 1; 5, 1; 73, 1; 118913, 1] 9318^2= 86825124 and factors of 86825124+1 are [5, 3; 37, 1; 18773, 1] 9319^2= 86843761 and factors of 86843761+1 are [2, 1; 43421881, 1] 9320^2= 86862400 and factors of 86862400+1 are [17, 1; 5109553, 1] 9321^2= 86881041 and factors of 86881041+1 are [2, 1; 29, 1; 1497949, 1] 9322^2= 86899684 and factors of 86899684+1 are [5, 1; 61, 1; 284917, 1] 9323^2= 86918329 and factors of 86918329+1 are [2, 1; 5, 1; 8691833, 1] 9324^2= 86936976 and factors of 86936976+1 are Prime:([86936977, 1]) 9325^2= 86955625 and factors of 86955625+1 are [2, 1; 2473, 1; 17581, 1] 9326^2= 86974276 and factors of 86974276+1 are [13, 1; 29, 1; 281, 1; 821, 1] 9327^2= 86992929 and factors of 86992929+1 are [2, 1; 5, 1; 8699293, 1] 9328^2= 87011584 and factors of 87011584+1 are [5, 1; 1249, 1; 13933, 1] 9329^2= 87030241 and factors of 87030241+1 are [2, 1; 13, 1; 17, 1; 196901, 1] 9330^2= 87048900 and factors of 87048900+1 are [37, 1; 2352673, 1] 9331^2= 87067561 and factors of 87067561+1 are [2, 1; 43533781, 1] 9332^2= 87086224 and factors of 87086224+1 are [5, 2; 3483449, 1] 9333^2= 87104889 and factors of 87104889+1 are [2, 1; 5, 1; 269, 1; 32381, 1] 9334^2= 87123556 and factors of 87123556+1 are [97, 1; 898181, 1] 9335^2= 87142225 and factors of 87142225+1 are [2, 1; 241, 1; 180793, 1] 9336^2= 87160896 and factors of 87160896+1 are Prime:([87160897, 1]) 9337^2= 87179569 and factors of 87179569+1 are [2, 1; 5, 1; 17, 1; 512821, 1] 9338^2= 87198244 and factors of 87198244+1 are [5, 1; 17439649, 1] 9339^2= 87216921 and factors of 87216921+1 are [2, 1; 13, 1; 41, 1; 81817, 1] 9340^2= 87235600 and factors of 87235600+1 are Prime:([87235601, 1]) 9341^2= 87254281 and factors of 87254281+1 are [2, 1; 109, 1; 400249, 1] 9342^2= 87272964 and factors of 87272964+1 are [5, 1; 13, 1; 1342661, 1] 9343^2= 87291649 and factors of 87291649+1 are [2, 1; 5, 2; 149, 1; 11717, 1] 9344^2= 87310336 and factors of 87310336+1 are [61, 1; 1431317, 1] 9345^2= 87329025 and factors of 87329025+1 are [2, 1; 193, 1; 226241, 1] 9346^2= 87347716 and factors of 87347716+1 are [17, 1; 5138101, 1] 9347^2= 87366409 and factors of 87366409+1 are [2, 1; 5, 1; 433, 1; 20177, 1] 9348^2= 87385104 and factors of 87385104+1 are [5, 1; 17477021, 1] 9349^2= 87403801 and factors of 87403801+1 are [2, 1; 797, 1; 54833, 1] 9350^2= 87422500 and factors of 87422500+1 are [29, 1; 1237, 1; 2437, 1] 9351^2= 87441201 and factors of 87441201+1 are [2, 1; 53, 1; 557, 1; 1481, 1] 9352^2= 87459904 and factors of 87459904+1 are [5, 1; 13, 1; 1345537, 1] 9353^2= 87478609 and factors of 87478609+1 are [2, 1; 5, 1; 137, 1; 63853, 1] 9354^2= 87497316 and factors of 87497316+1 are [17, 1; 5146901, 1] 9355^2= 87516025 and factors of 87516025+1 are [2, 1; 13, 1; 29, 1; 37, 1; 3137, 1] 9356^2= 87534736 and factors of 87534736+1 are Prime:([87534737, 1]) 9357^2= 87553449 and factors of 87553449+1 are [2, 1; 5, 2; 41, 1; 42709, 1] 9358^2= 87572164 and factors of 87572164+1 are [5, 1; 53, 1; 277, 1; 1193, 1] 9359^2= 87590881 and factors of 87590881+1 are [2, 1; 43795441, 1] 9360^2= 87609600 and factors of 87609600+1 are [661, 1; 132541, 1] 9361^2= 87628321 and factors of 87628321+1 are [2, 1; 43814161, 1] 9362^2= 87647044 and factors of 87647044+1 are [5, 1; 449, 1; 39041, 1] 9363^2= 87665769 and factors of 87665769+1 are [2, 1; 5, 1; 17, 1; 515681, 1] 9364^2= 87684496 and factors of 87684496+1 are [113, 1; 673, 1; 1153, 1] 9365^2= 87703225 and factors of 87703225+1 are [2, 1; 13, 2; 313, 1; 829, 1] 9366^2= 87721956 and factors of 87721956+1 are [1861, 1; 47137, 1] 9367^2= 87740689 and factors of 87740689+1 are [2, 1; 5, 1; 37, 1; 237137, 1] 9368^2= 87759424 and factors of 87759424+1 are [5, 2; 13, 1; 270029, 1] 9369^2= 87778161 and factors of 87778161+1 are [2, 1; 43889081, 1] 9370^2= 87796900 and factors of 87796900+1 are [509, 1; 172489, 1] 9371^2= 87815641 and factors of 87815641+1 are [2, 1; 17, 1; 73, 1; 35381, 1] 9372^2= 87834384 and factors of 87834384+1 are [5, 1; 1069, 1; 16433, 1] 9373^2= 87853129 and factors of 87853129+1 are [2, 1; 5, 1; 8785313, 1] 9374^2= 87871876 and factors of 87871876+1 are Prime:([87871877, 1]) 9375^2= 87890625 and factors of 87890625+1 are [2, 1; 43945313, 1] 9376^2= 87909376 and factors of 87909376+1 are [193, 1; 455489, 1] 9377^2= 87928129 and factors of 87928129+1 are [2, 1; 5, 1; 8792813, 1] 9378^2= 87946884 and factors of 87946884+1 are [5, 1; 13, 1; 1353029, 1] 9379^2= 87965641 and factors of 87965641+1 are [2, 1; 29, 1; 89, 1; 17041, 1] 9380^2= 87984400 and factors of 87984400+1 are [17, 1; 41, 1; 126233, 1] 9381^2= 88003161 and factors of 88003161+1 are [2, 1; 13, 1; 3384737, 1] 9382^2= 88021924 and factors of 88021924+1 are [5, 2; 1549, 1; 2273, 1] 9383^2= 88040689 and factors of 88040689+1 are [2, 1; 5, 1; 61, 1; 101, 1; 1429, 1] 9384^2= 88059456 and factors of 88059456+1 are [29, 1; 3036533, 1] 9385^2= 88078225 and factors of 88078225+1 are [2, 1; 44039113, 1] 9386^2= 88096996 and factors of 88096996+1 are Prime:([88096997, 1]) 9387^2= 88115769 and factors of 88115769+1 are [2, 1; 5, 1; 97, 1; 90841, 1] 9388^2= 88134544 and factors of 88134544+1 are [5, 1; 17, 1; 1036877, 1] 9389^2= 88153321 and factors of 88153321+1 are [2, 1; 44076661, 1] 9390^2= 88172100 and factors of 88172100+1 are [73, 1; 809, 1; 1493, 1] 9391^2= 88190881 and factors of 88190881+1 are [2, 1; 13, 1; 3391957, 1] 9392^2= 88209664 and factors of 88209664+1 are [5, 1; 37, 1; 157, 1; 3037, 1] 9393^2= 88228449 and factors of 88228449+1 are [2, 1; 5, 2; 181, 1; 9749, 1] 9394^2= 88247236 and factors of 88247236+1 are [13, 2; 113, 1; 4621, 1] 9395^2= 88266025 and factors of 88266025+1 are [2, 1; 44133013, 1] 9396^2= 88284816 and factors of 88284816+1 are [317, 1; 278501, 1] 9397^2= 88303609 and factors of 88303609+1 are [2, 1; 5, 1; 17, 1; 519433, 1] 9398^2= 88322404 and factors of 88322404+1 are [5, 1; 41, 1; 430841, 1] 9399^2= 88341201 and factors of 88341201+1 are [2, 1; 44170601, 1] 9400^2= 88360000 and factors of 88360000+1 are [89, 1; 992809, 1] 9401^2= 88378801 and factors of 88378801+1 are [2, 1; 44189401, 1] 9402^2= 88397604 and factors of 88397604+1 are [5, 1; 17679521, 1] 9403^2= 88416409 and factors of 88416409+1 are [2, 1; 5, 1; 101, 1; 87541, 1] 9404^2= 88435216 and factors of 88435216+1 are [13, 1; 37, 1; 53, 1; 3469, 1] 9405^2= 88454025 and factors of 88454025+1 are [2, 1; 17, 1; 61, 1; 42649, 1] 9406^2= 88472836 and factors of 88472836+1 are Prime:([88472837, 1]) 9407^2= 88491649 and factors of 88491649+1 are [2, 1; 5, 2; 13, 1; 109, 1; 1249, 1] 9408^2= 88510464 and factors of 88510464+1 are [5, 1; 29, 1; 610417, 1] 9409^2= 88529281 and factors of 88529281+1 are [2, 1; 233, 1; 189977, 1] 9410^2= 88548100 and factors of 88548100+1 are [7349, 1; 12049, 1] 9411^2= 88566921 and factors of 88566921+1 are [2, 1; 53, 1; 593, 1; 1409, 1] 9412^2= 88585744 and factors of 88585744+1 are [5, 1; 17717149, 1] 9413^2= 88604569 and factors of 88604569+1 are [2, 1; 5, 1; 29, 1; 305533, 1] 9414^2= 88623396 and factors of 88623396+1 are [17, 1; 5213141, 1] 9415^2= 88642225 and factors of 88642225+1 are [2, 1; 313, 1; 141601, 1] 9416^2= 88661056 and factors of 88661056+1 are [137, 1; 647161, 1] 9417^2= 88679889 and factors of 88679889+1 are [2, 1; 5, 1; 13, 1; 682153, 1] 9418^2= 88698724 and factors of 88698724+1 are [5, 2; 3547949, 1] 9419^2= 88717561 and factors of 88717561+1 are [2, 1; 44358781, 1] 9420^2= 88736400 and factors of 88736400+1 are [13, 1; 6825877, 1] 9421^2= 88755241 and factors of 88755241+1 are [2, 1; 41, 1; 1082381, 1] 9422^2= 88774084 and factors of 88774084+1 are [5, 1; 17, 1; 173, 1; 6037, 1] 9423^2= 88792929 and factors of 88792929+1 are [2, 1; 5, 1; 8879293, 1] 9424^2= 88811776 and factors of 88811776+1 are Prime:([88811777, 1]) 9425^2= 88830625 and factors of 88830625+1 are [2, 1; 44415313, 1] 9426^2= 88849476 and factors of 88849476+1 are Prime:([88849477, 1]) 9427^2= 88868329 and factors of 88868329+1 are [2, 1; 5, 1; 8886833, 1] 9428^2= 88887184 and factors of 88887184+1 are [5, 1; 17777437, 1] 9429^2= 88906041 and factors of 88906041+1 are [2, 1; 37, 1; 373, 1; 3221, 1] 9430^2= 88924900 and factors of 88924900+1 are [13, 1; 6840377, 1] 9431^2= 88943761 and factors of 88943761+1 are [2, 1; 17, 1; 97, 1; 149, 1; 181, 1] 9432^2= 88962624 and factors of 88962624+1 are [5, 3; 711701, 1] 9433^2= 88981489 and factors of 88981489+1 are [2, 1; 5, 1; 13, 1; 684473, 1] 9434^2= 89000356 and factors of 89000356+1 are Prime:([89000357, 1]) 9435^2= 89019225 and factors of 89019225+1 are [2, 1; 173, 1; 257281, 1] 9436^2= 89038096 and factors of 89038096+1 are Prime:([89038097, 1]) 9437^2= 89056969 and factors of 89056969+1 are [2, 1; 5, 1; 29, 1; 307093, 1] 9438^2= 89075844 and factors of 89075844+1 are [5, 1; 17815169, 1] 9439^2= 89094721 and factors of 89094721+1 are [2, 1; 17, 1; 41, 1; 63913, 1] 9440^2= 89113600 and factors of 89113600+1 are [2333, 1; 38197, 1] 9441^2= 89132481 and factors of 89132481+1 are [2, 1; 37, 1; 1204493, 1] 9442^2= 89151364 and factors of 89151364+1 are [5, 1; 29, 1; 197, 1; 3121, 1] 9443^2= 89170249 and factors of 89170249+1 are [2, 1; 5, 3; 13, 1; 27437, 1] 9444^2= 89189136 and factors of 89189136+1 are [61, 1; 73, 1; 20029, 1] 9445^2= 89208025 and factors of 89208025+1 are [2, 1; 44604013, 1] 9446^2= 89226916 and factors of 89226916+1 are [13, 1; 1061, 1; 6469, 1] 9447^2= 89245809 and factors of 89245809+1 are [2, 1; 5, 1; 8924581, 1] 9448^2= 89264704 and factors of 89264704+1 are [5, 1; 17, 1; 157, 1; 6689, 1] 9449^2= 89283601 and factors of 89283601+1 are [2, 1; 617, 1; 72353, 1] 9450^2= 89302500 and factors of 89302500+1 are [109, 1; 819289, 1] 9451^2= 89321401 and factors of 89321401+1 are [2, 1; 389, 1; 114809, 1] 9452^2= 89340304 and factors of 89340304+1 are [5, 1; 677, 1; 26393, 1] 9453^2= 89359209 and factors of 89359209+1 are [2, 1; 5, 1; 8935921, 1] 9454^2= 89378116 and factors of 89378116+1 are [2593, 1; 34469, 1] 9455^2= 89397025 and factors of 89397025+1 are [2, 1; 2381, 1; 18773, 1] 9456^2= 89415936 and factors of 89415936+1 are [13, 1; 17, 1; 404597, 1] 9457^2= 89434849 and factors of 89434849+1 are [2, 1; 5, 2; 53, 1; 33749, 1] 9458^2= 89453764 and factors of 89453764+1 are [5, 1; 17890753, 1] 9459^2= 89472681 and factors of 89472681+1 are [2, 1; 13, 1; 3441257, 1] 9460^2= 89491600 and factors of 89491600+1 are Prime:([89491601, 1]) 9461^2= 89510521 and factors of 89510521+1 are [2, 1; 641, 1; 69821, 1] 9462^2= 89529444 and factors of 89529444+1 are [5, 1; 41, 1; 436729, 1] 9463^2= 89548369 and factors of 89548369+1 are [2, 1; 5, 1; 73, 1; 241, 1; 509, 1] 9464^2= 89567296 and factors of 89567296+1 are [53, 1; 233, 1; 7253, 1] 9465^2= 89586225 and factors of 89586225+1 are [2, 1; 17, 1; 397, 1; 6637, 1] 9466^2= 89605156 and factors of 89605156+1 are [29, 1; 37, 3; 61, 1] 9467^2= 89624089 and factors of 89624089+1 are [2, 1; 5, 1; 2857, 1; 3137, 1] 9468^2= 89643024 and factors of 89643024+1 are [5, 2; 89, 1; 40289, 1] 9469^2= 89661961 and factors of 89661961+1 are [2, 1; 13, 1; 3448537, 1] 9470^2= 89680900 and factors of 89680900+1 are [197, 1; 455233, 1] 9471^2= 89699841 and factors of 89699841+1 are [2, 1; 29, 1; 1546549, 1] 9472^2= 89718784 and factors of 89718784+1 are [5, 1; 13, 1; 1380289, 1] 9473^2= 89737729 and factors of 89737729+1 are [2, 1; 5, 1; 17, 1; 527869, 1] 9474^2= 89756676 and factors of 89756676+1 are Prime:([89756677, 1]) 9475^2= 89775625 and factors of 89775625+1 are [2, 1; 44887813, 1] 9476^2= 89794576 and factors of 89794576+1 are Prime:([89794577, 1]) 9477^2= 89813529 and factors of 89813529+1 are [2, 1; 5, 1; 113, 1; 79481, 1] 9478^2= 89832484 and factors of 89832484+1 are [5, 1; 37, 1; 277, 1; 1753, 1] 9479^2= 89851441 and factors of 89851441+1 are [2, 1; 5009, 1; 8969, 1] 9480^2= 89870400 and factors of 89870400+1 are [41, 1; 673, 1; 3257, 1] 9481^2= 89889361 and factors of 89889361+1 are [2, 1; 44944681, 1] 9482^2= 89908324 and factors of 89908324+1 are [5, 2; 13, 1; 17, 1; 16273, 1] 9483^2= 89927289 and factors of 89927289+1 are [2, 1; 5, 1; 8992729, 1] 9484^2= 89946256 and factors of 89946256+1 are [97, 1; 101, 1; 9181, 1] 9485^2= 89965225 and factors of 89965225+1 are [2, 1; 13, 1; 3460201, 1] 9486^2= 89984196 and factors of 89984196+1 are Prime:([89984197, 1]) 9487^2= 90003169 and factors of 90003169+1 are [2, 1; 5, 1; 9000317, 1] 9488^2= 90022144 and factors of 90022144+1 are [5, 1; 457, 1; 39397, 1] 9489^2= 90041121 and factors of 90041121+1 are [2, 1; 89, 1; 353, 1; 1433, 1] 9490^2= 90060100 and factors of 90060100+1 are [17, 1; 137, 1; 38669, 1] 9491^2= 90079081 and factors of 90079081+1 are [2, 1; 601, 1; 74941, 1] 9492^2= 90098064 and factors of 90098064+1 are [5, 1; 149, 1; 120937, 1] 9493^2= 90117049 and factors of 90117049+1 are [2, 1; 5, 2; 257, 1; 7013, 1] 9494^2= 90136036 and factors of 90136036+1 are Prime:([90136037, 1]) 9495^2= 90155025 and factors of 90155025+1 are [2, 1; 13, 1; 29, 1; 119569, 1] 9496^2= 90174016 and factors of 90174016+1 are [229, 1; 449, 1; 877, 1] 9497^2= 90193009 and factors of 90193009+1 are [2, 1; 5, 1; 269, 1; 33529, 1] 9498^2= 90212004 and factors of 90212004+1 are [5, 1; 13, 1; 1387877, 1] 9499^2= 90231001 and factors of 90231001+1 are [2, 1; 17, 2; 156109, 1] 9500^2= 90250000 and factors of 90250000+1 are [29, 1; 3112069, 1] 9501^2= 90269001 and factors of 90269001+1 are [2, 1; 281, 1; 160621, 1] 9502^2= 90288004 and factors of 90288004+1 are [5, 1; 1289, 1; 14009, 1] 9503^2= 90307009 and factors of 90307009+1 are [2, 1; 5, 1; 37, 1; 41, 1; 5953, 1] 9504^2= 90326016 and factors of 90326016+1 are [101, 1; 677, 1; 1321, 1] 9505^2= 90345025 and factors of 90345025+1 are [2, 1; 61, 1; 740533, 1] 9506^2= 90364036 and factors of 90364036+1 are [1637, 1; 55201, 1] 9507^2= 90383049 and factors of 90383049+1 are [2, 1; 5, 2; 17, 1; 113, 1; 941, 1] 9508^2= 90402064 and factors of 90402064+1 are [5, 1; 13, 1; 1390801, 1] 9509^2= 90421081 and factors of 90421081+1 are [2, 1; 45210541, 1] 9510^2= 90440100 and factors of 90440100+1 are [53, 1; 1706417, 1] 9511^2= 90459121 and factors of 90459121+1 are [2, 1; 13, 1; 229, 1; 15193, 1] 9512^2= 90478144 and factors of 90478144+1 are [5, 1; 18095629, 1] 9513^2= 90497169 and factors of 90497169+1 are [2, 1; 5, 1; 9049717, 1] 9514^2= 90516196 and factors of 90516196+1 are [293, 1; 308929, 1] 9515^2= 90535225 and factors of 90535225+1 are [2, 1; 37, 1; 1223449, 1] 9516^2= 90554256 and factors of 90554256+1 are [17, 1; 109, 1; 48869, 1] 9517^2= 90573289 and factors of 90573289+1 are [2, 1; 5, 1; 53, 1; 73, 1; 2341, 1] 9518^2= 90592324 and factors of 90592324+1 are [5, 2; 977, 1; 3709, 1] 9519^2= 90611361 and factors of 90611361+1 are [2, 1; 45305681, 1] 9520^2= 90630400 and factors of 90630400+1 are Prime:([90630401, 1]) 9521^2= 90649441 and factors of 90649441+1 are [2, 1; 13, 1; 41, 1; 85037, 1] 9522^2= 90668484 and factors of 90668484+1 are [5, 1; 1877, 1; 9661, 1] 9523^2= 90687529 and factors of 90687529+1 are [2, 1; 5, 1; 9068753, 1] 9524^2= 90706576 and factors of 90706576+1 are [13, 1; 17, 1; 29, 1; 14153, 1] 9525^2= 90725625 and factors of 90725625+1 are [2, 1; 257, 1; 176509, 1] 9526^2= 90744676 and factors of 90744676+1 are [4241, 1; 21397, 1] 9527^2= 90763729 and factors of 90763729+1 are [2, 1; 5, 1; 61, 1; 148793, 1] 9528^2= 90782784 and factors of 90782784+1 are [5, 1; 97, 1; 187181, 1] 9529^2= 90801841 and factors of 90801841+1 are [2, 1; 29, 1; 1565549, 1] 9530^2= 90820900 and factors of 90820900+1 are Prime:([90820901, 1]) 9531^2= 90839961 and factors of 90839961+1 are [2, 1; 293, 1; 155017, 1] 9532^2= 90859024 and factors of 90859024+1 are [5, 2; 1097, 1; 3313, 1] 9533^2= 90878089 and factors of 90878089+1 are [2, 1; 5, 1; 17, 1; 534577, 1] 9534^2= 90897156 and factors of 90897156+1 are [13, 2; 537853, 1] 9535^2= 90916225 and factors of 90916225+1 are [2, 1; 45458113, 1] 9536^2= 90935296 and factors of 90935296+1 are [73, 1; 1245689, 1] 9537^2= 90954369 and factors of 90954369+1 are [2, 1; 5, 1; 13, 1; 699649, 1] 9538^2= 90973444 and factors of 90973444+1 are [5, 1; 193, 1; 94273, 1] 9539^2= 90992521 and factors of 90992521+1 are [2, 1; 45496261, 1] 9540^2= 91011600 and factors of 91011600+1 are [37, 1; 2459773, 1] 9541^2= 91030681 and factors of 91030681+1 are [2, 1; 17, 1; 2677373, 1] 9542^2= 91049764 and factors of 91049764+1 are [5, 1; 18209953, 1] 9543^2= 91068849 and factors of 91068849+1 are [2, 1; 5, 2; 1821377, 1] 9544^2= 91087936 and factors of 91087936+1 are [41, 1; 2221657, 1] 9545^2= 91107025 and factors of 91107025+1 are [2, 1; 45553513, 1] 9546^2= 91126116 and factors of 91126116+1 are Prime:([91126117, 1]) 9547^2= 91145209 and factors of 91145209+1 are [2, 1; 5, 1; 13, 1; 701117, 1] 9548^2= 91164304 and factors of 91164304+1 are [5, 1; 18232861, 1] 9549^2= 91183401 and factors of 91183401+1 are [2, 1; 157, 1; 290393, 1] 9550^2= 91202500 and factors of 91202500+1 are [13, 1; 17, 1; 409, 1; 1009, 1] 9551^2= 91221601 and factors of 91221601+1 are [2, 1; 1613, 1; 28277, 1] 9552^2= 91240704 and factors of 91240704+1 are [5, 1; 37, 1; 493193, 1] 9553^2= 91259809 and factors of 91259809+1 are [2, 1; 5, 1; 29, 1; 137, 1; 2297, 1] 9554^2= 91278916 and factors of 91278916+1 are Prime:([91278917, 1]) 9555^2= 91298025 and factors of 91298025+1 are [2, 1; 4957, 1; 9209, 1] 9556^2= 91317136 and factors of 91317136+1 are [4201, 1; 21737, 1] 9557^2= 91336249 and factors of 91336249+1 are [2, 1; 5, 4; 89, 1; 821, 1] 9558^2= 91355364 and factors of 91355364+1 are [5, 1; 17, 1; 29, 1; 37061, 1] 9559^2= 91374481 and factors of 91374481+1 are [2, 1; 109, 1; 349, 1; 1201, 1] 9560^2= 91393600 and factors of 91393600+1 are [13, 1; 1621, 1; 4337, 1] 9561^2= 91412721 and factors of 91412721+1 are [2, 1; 45706361, 1] 9562^2= 91431844 and factors of 91431844+1 are [5, 1; 41, 1; 446009, 1] 9563^2= 91450969 and factors of 91450969+1 are [2, 1; 5, 1; 13, 2; 53, 1; 1021, 1] 9564^2= 91470096 and factors of 91470096+1 are Prime:([91470097, 1]) 9565^2= 91489225 and factors of 91489225+1 are [2, 1; 593, 1; 77141, 1] 9566^2= 91508356 and factors of 91508356+1 are [61, 1; 937, 1; 1601, 1] 9567^2= 91527489 and factors of 91527489+1 are [2, 1; 5, 1; 17, 1; 538397, 1] 9568^2= 91546624 and factors of 91546624+1 are [5, 3; 732373, 1] 9569^2= 91565761 and factors of 91565761+1 are [2, 1; 193, 1; 237217, 1] 9570^2= 91584900 and factors of 91584900+1 are [53, 1; 1728017, 1] 9571^2= 91604041 and factors of 91604041+1 are [2, 1; 45802021, 1] 9572^2= 91623184 and factors of 91623184+1 are [5, 1; 18324637, 1] 9573^2= 91642329 and factors of 91642329+1 are [2, 1; 5, 1; 13, 1; 353, 1; 1997, 1] 9574^2= 91661476 and factors of 91661476+1 are [181, 1; 506417, 1] 9575^2= 91680625 and factors of 91680625+1 are [2, 1; 17, 2; 158617, 1] 9576^2= 91699776 and factors of 91699776+1 are [13, 1; 241, 1; 29269, 1] 9577^2= 91718929 and factors of 91718929+1 are [2, 1; 5, 1; 37, 1; 247889, 1] 9578^2= 91738084 and factors of 91738084+1 are [5, 1; 89, 1; 206153, 1] 9579^2= 91757241 and factors of 91757241+1 are [2, 1; 45878621, 1] 9580^2= 91776400 and factors of 91776400+1 are [149, 1; 615949, 1] 9581^2= 91795561 and factors of 91795561+1 are [2, 1; 97, 1; 473173, 1] 9582^2= 91814724 and factors of 91814724+1 are [5, 2; 29, 1; 126641, 1] 9583^2= 91833889 and factors of 91833889+1 are [2, 1; 5, 1; 9183389, 1] 9584^2= 91853056 and factors of 91853056+1 are [17, 1; 337, 1; 16033, 1] 9585^2= 91872225 and factors of 91872225+1 are [2, 1; 41, 1; 101, 1; 11093, 1] 9586^2= 91891396 and factors of 91891396+1 are [13, 1; 7068569, 1] 9587^2= 91910569 and factors of 91910569+1 are [2, 1; 5, 1; 29, 1; 557, 1; 569, 1] 9588^2= 91929744 and factors of 91929744+1 are [5, 1; 61, 1; 301409, 1] 9589^2= 91948921 and factors of 91948921+1 are [2, 1; 13, 1; 37, 1; 95581, 1] 9590^2= 91968100 and factors of 91968100+1 are [73, 1; 113, 1; 11149, 1] 9591^2= 91987281 and factors of 91987281+1 are [2, 1; 397, 1; 115853, 1] 9592^2= 92006464 and factors of 92006464+1 are [5, 1; 17, 1; 1082429, 1] 9593^2= 92025649 and factors of 92025649+1 are [2, 1; 5, 2; 773, 1; 2381, 1] 9594^2= 92044836 and factors of 92044836+1 are [373, 1; 246769, 1] 9595^2= 92064025 and factors of 92064025+1 are [2, 1; 173, 1; 266081, 1] 9596^2= 92083216 and factors of 92083216+1 are Prime:([92083217, 1]) 9597^2= 92102409 and factors of 92102409+1 are [2, 1; 5, 1; 9210241, 1] 9598^2= 92121604 and factors of 92121604+1 are [5, 1; 18424321, 1] 9599^2= 92140801 and factors of 92140801+1 are [2, 1; 13, 1; 3543877, 1] 9600^2= 92160000 and factors of 92160000+1 are Prime:([92160001, 1]) 9601^2= 92179201 and factors of 92179201+1 are [2, 1; 17, 1; 2711153, 1] 9602^2= 92198404 and factors of 92198404+1 are [5, 1; 13, 1; 269, 1; 5273, 1] 9603^2= 92217609 and factors of 92217609+1 are [2, 1; 5, 1; 41, 1; 224921, 1] 9604^2= 92236816 and factors of 92236816+1 are [401, 1; 230017, 1] 9605^2= 92256025 and factors of 92256025+1 are [2, 1; 101, 1; 157, 1; 2909, 1] 9606^2= 92275236 and factors of 92275236+1 are [1973, 1; 46769, 1] 9607^2= 92294449 and factors of 92294449+1 are [2, 1; 5, 2; 281, 1; 6569, 1] 9608^2= 92313664 and factors of 92313664+1 are [5, 1; 173, 1; 106721, 1] 9609^2= 92332881 and factors of 92332881+1 are [2, 1; 17, 1; 73, 1; 37201, 1] 9610^2= 92352100 and factors of 92352100+1 are [389, 1; 237409, 1] 9611^2= 92371321 and factors of 92371321+1 are [2, 1; 29, 1; 1592609, 1] 9612^2= 92390544 and factors of 92390544+1 are [5, 1; 13, 1; 181, 1; 7853, 1] 9613^2= 92409769 and factors of 92409769+1 are [2, 1; 5, 1; 521, 1; 17737, 1] 9614^2= 92428996 and factors of 92428996+1 are [37, 1; 929, 1; 2689, 1] 9615^2= 92448225 and factors of 92448225+1 are [2, 1; 13, 1; 3555701, 1] 9616^2= 92467456 and factors of 92467456+1 are [29, 1; 53, 1; 60161, 1] 9617^2= 92486689 and factors of 92486689+1 are [2, 1; 5, 1; 2557, 1; 3617, 1] 9618^2= 92505924 and factors of 92505924+1 are [5, 2; 17, 1; 217661, 1] 9619^2= 92525161 and factors of 92525161+1 are [2, 1; 46262581, 1] 9620^2= 92544400 and factors of 92544400+1 are [113, 1; 818977, 1] 9621^2= 92563641 and factors of 92563641+1 are [2, 1; 1009, 1; 45869, 1] 9622^2= 92582884 and factors of 92582884+1 are [5, 1; 3049, 1; 6073, 1] 9623^2= 92602129 and factors of 92602129+1 are [2, 1; 5, 1; 53, 1; 174721, 1] 9624^2= 92621376 and factors of 92621376+1 are [317, 1; 292181, 1] 9625^2= 92640625 and factors of 92640625+1 are [2, 1; 13, 1; 97, 1; 109, 1; 337, 1] 9626^2= 92659876 and factors of 92659876+1 are [17, 1; 37, 1; 41, 1; 3593, 1] 9627^2= 92679129 and factors of 92679129+1 are [2, 1; 5, 1; 61, 1; 137, 1; 1109, 1] 9628^2= 92698384 and factors of 92698384+1 are [5, 1; 13, 1; 1426129, 1] 9629^2= 92717641 and factors of 92717641+1 are [2, 1; 46358821, 1] 9630^2= 92736900 and factors of 92736900+1 are Prime:([92736901, 1]) 9631^2= 92756161 and factors of 92756161+1 are [2, 1; 46378081, 1] 9632^2= 92775424 and factors of 92775424+1 are [5, 2; 3711017, 1] 9633^2= 92794689 and factors of 92794689+1 are [2, 1; 5, 1; 461, 1; 20129, 1] 9634^2= 92813956 and factors of 92813956+1 are [857, 1; 108301, 1] 9635^2= 92833225 and factors of 92833225+1 are [2, 1; 17, 1; 277, 1; 9857, 1] 9636^2= 92852496 and factors of 92852496+1 are [349, 1; 266053, 1] 9637^2= 92871769 and factors of 92871769+1 are [2, 1; 5, 1; 9287177, 1] 9638^2= 92891044 and factors of 92891044+1 are [5, 1; 13, 1; 1429093, 1] 9639^2= 92910321 and factors of 92910321+1 are [2, 1; 197, 1; 235813, 1] 9640^2= 92929600 and factors of 92929600+1 are [29, 1; 3204469, 1] 9641^2= 92948881 and factors of 92948881+1 are [2, 1; 13, 1; 149, 1; 23993, 1] 9642^2= 92968164 and factors of 92968164+1 are [5, 1; 233, 1; 79801, 1] 9643^2= 92987449 and factors of 92987449+1 are [2, 1; 5, 2; 17, 1; 109397, 1] 9644^2= 93006736 and factors of 93006736+1 are [41, 1; 401, 1; 5657, 1] 9645^2= 93026025 and factors of 93026025+1 are [2, 1; 29, 1; 1603897, 1] 9646^2= 93045316 and factors of 93045316+1 are [89, 1; 653, 1; 1601, 1] 9647^2= 93064609 and factors of 93064609+1 are [2, 1; 5, 1; 9306461, 1] 9648^2= 93083904 and factors of 93083904+1 are [5, 1; 18616781, 1] 9649^2= 93103201 and factors of 93103201+1 are [2, 1; 61, 1; 763141, 1] 9650^2= 93122500 and factors of 93122500+1 are Prime:([93122501, 1]) 9651^2= 93141801 and factors of 93141801+1 are [2, 1; 13, 1; 37, 1; 96821, 1] 9652^2= 93161104 and factors of 93161104+1 are [5, 1; 17, 1; 1033, 1; 1061, 1] 9653^2= 93180409 and factors of 93180409+1 are [2, 1; 5, 1; 9318041, 1] 9654^2= 93199716 and factors of 93199716+1 are [13, 1; 421, 1; 17029, 1] 9655^2= 93219025 and factors of 93219025+1 are [2, 1; 46609513, 1] 9656^2= 93238336 and factors of 93238336+1 are [2089, 1; 44633, 1] 9657^2= 93257649 and factors of 93257649+1 are [2, 1; 5, 2; 1201, 1; 1553, 1] 9658^2= 93276964 and factors of 93276964+1 are [5, 1; 1217, 1; 15329, 1] 9659^2= 93296281 and factors of 93296281+1 are [2, 1; 6121, 1; 7621, 1] 9660^2= 93315600 and factors of 93315600+1 are [17, 1; 1777, 1; 3089, 1] 9661^2= 93334921 and factors of 93334921+1 are [2, 1; 2801, 1; 16661, 1] 9662^2= 93354244 and factors of 93354244+1 are [5, 1; 18670849, 1] 9663^2= 93373569 and factors of 93373569+1 are [2, 1; 5, 1; 37, 1; 73, 1; 3457, 1] 9664^2= 93392896 and factors of 93392896+1 are [13, 1; 521, 1; 13789, 1] 9665^2= 93412225 and factors of 93412225+1 are [2, 1; 46706113, 1] 9666^2= 93431556 and factors of 93431556+1 are Prime:([93431557, 1]) 9667^2= 93450889 and factors of 93450889+1 are [2, 1; 5, 1; 13, 1; 41, 1; 89, 1; 197, 1] 9668^2= 93470224 and factors of 93470224+1 are [5, 2; 109, 1; 34301, 1] 9669^2= 93489561 and factors of 93489561+1 are [2, 1; 17, 1; 29, 1; 53, 1; 1789, 1] 9670^2= 93508900 and factors of 93508900+1 are Prime:([93508901, 1]) 9671^2= 93528241 and factors of 93528241+1 are [2, 1; 46764121, 1] 9672^2= 93547584 and factors of 93547584+1 are [5, 1; 18709517, 1] 9673^2= 93566929 and factors of 93566929+1 are [2, 1; 5, 1; 409, 1; 22877, 1] 9674^2= 93586276 and factors of 93586276+1 are [29, 1; 1453, 1; 2221, 1] 9675^2= 93605625 and factors of 93605625+1 are [2, 1; 46802813, 1] 9676^2= 93624976 and factors of 93624976+1 are [53, 1; 1766509, 1] 9677^2= 93644329 and factors of 93644329+1 are [2, 1; 5, 1; 13, 1; 17, 1; 42373, 1] 9678^2= 93663684 and factors of 93663684+1 are [5, 1; 97, 1; 313, 1; 617, 1] 9679^2= 93683041 and factors of 93683041+1 are [2, 1; 701, 1; 66821, 1] 9680^2= 93702400 and factors of 93702400+1 are [13, 1; 7207877, 1] 9681^2= 93721761 and factors of 93721761+1 are [2, 1; 46860881, 1] 9682^2= 93741124 and factors of 93741124+1 are [5, 3; 73, 1; 10273, 1] 9683^2= 93760489 and factors of 93760489+1 are [2, 1; 5, 1; 9376049, 1] 9684^2= 93779856 and factors of 93779856+1 are [3061, 1; 30637, 1] 9685^2= 93799225 and factors of 93799225+1 are [2, 1; 41, 1; 1143893, 1] 9686^2= 93818596 and factors of 93818596+1 are [17, 1; 101, 2; 541, 1] 9687^2= 93837969 and factors of 93837969+1 are [2, 1; 5, 1; 9383797, 1] 9688^2= 93857344 and factors of 93857344+1 are [5, 1; 37, 1; 61, 1; 8317, 1] 9689^2= 93876721 and factors of 93876721+1 are [2, 1; 46938361, 1] 9690^2= 93896100 and factors of 93896100+1 are [13, 1; 137, 1; 52721, 1] 9691^2= 93915481 and factors of 93915481+1 are [2, 1; 1181, 1; 39761, 1] 9692^2= 93934864 and factors of 93934864+1 are [5, 1; 18786973, 1] 9693^2= 93954249 and factors of 93954249+1 are [2, 1; 5, 3; 13, 1; 28909, 1] 9694^2= 93973636 and factors of 93973636+1 are [17, 1; 5527861, 1] 9695^2= 93993025 and factors of 93993025+1 are [2, 1; 5261, 1; 8933, 1] 9696^2= 94012416 and factors of 94012416+1 are Prime:([94012417, 1]) 9697^2= 94031809 and factors of 94031809+1 are [2, 1; 5, 1; 233, 1; 40357, 1] 9698^2= 94051204 and factors of 94051204+1 are [5, 1; 29, 1; 648629, 1] 9699^2= 94070601 and factors of 94070601+1 are [2, 1; 47035301, 1] 9700^2= 94090000 and factors of 94090000+1 are [37, 2; 68729, 1] 9701^2= 94109401 and factors of 94109401+1 are [2, 1; 47054701, 1] 9702^2= 94128804 and factors of 94128804+1 are [5, 1; 829, 1; 22709, 1] 9703^2= 94148209 and factors of 94148209+1 are [2, 1; 5, 1; 13, 2; 17, 1; 29, 1; 113, 1] 9704^2= 94167616 and factors of 94167616+1 are [241, 1; 390737, 1] 9705^2= 94187025 and factors of 94187025+1 are [2, 1; 433, 1; 108761, 1] 9706^2= 94206436 and factors of 94206436+1 are [13, 1; 101, 1; 157, 1; 457, 1] 9707^2= 94225849 and factors of 94225849+1 are [2, 1; 5, 2; 1884517, 1] 9708^2= 94245264 and factors of 94245264+1 are [5, 1; 41, 2; 11213, 1] 9709^2= 94264681 and factors of 94264681+1 are [2, 1; 47132341, 1] 9710^2= 94284100 and factors of 94284100+1 are [61, 1; 1545641, 1] 9711^2= 94303521 and factors of 94303521+1 are [2, 1; 17, 1; 2773633, 1] 9712^2= 94322944 and factors of 94322944+1 are [5, 1; 421, 1; 44809, 1] 9713^2= 94342369 and factors of 94342369+1 are [2, 1; 5, 1; 317, 1; 29761, 1] 9714^2= 94361796 and factors of 94361796+1 are Prime:([94361797, 1]) 9715^2= 94381225 and factors of 94381225+1 are [2, 1; 47190613, 1] 9716^2= 94400656 and factors of 94400656+1 are [13, 1; 853, 1; 8513, 1] 9717^2= 94420089 and factors of 94420089+1 are [2, 1; 5, 1; 9442009, 1] 9718^2= 94439524 and factors of 94439524+1 are [5, 2; 3777581, 1] 9719^2= 94458961 and factors of 94458961+1 are [2, 1; 13, 1; 3633037, 1] 9720^2= 94478400 and factors of 94478400+1 are [17, 1; 5557553, 1] 9721^2= 94497841 and factors of 94497841+1 are [2, 1; 47248921, 1] 9722^2= 94517284 and factors of 94517284+1 are [5, 1; 53, 1; 97, 1; 3677, 1] 9723^2= 94536729 and factors of 94536729+1 are [2, 1; 5, 1; 1901, 1; 4973, 1] 9724^2= 94556176 and factors of 94556176+1 are Prime:([94556177, 1]) 9725^2= 94575625 and factors of 94575625+1 are [2, 1; 37, 1; 229, 1; 5581, 1] 9726^2= 94595076 and factors of 94595076+1 are [41, 1; 2307197, 1] 9727^2= 94614529 and factors of 94614529+1 are [2, 1; 5, 1; 29, 1; 326257, 1] 9728^2= 94633984 and factors of 94633984+1 are [5, 1; 17, 1; 313, 1; 3557, 1] 9729^2= 94653441 and factors of 94653441+1 are [2, 1; 13, 1; 53, 1; 149, 1; 461, 1] 9730^2= 94672900 and factors of 94672900+1 are [1193, 1; 79357, 1] 9731^2= 94692361 and factors of 94692361+1 are [2, 1; 193, 1; 245317, 1] 9732^2= 94711824 and factors of 94711824+1 are [5, 2; 13, 2; 29, 1; 773, 1] 9733^2= 94731289 and factors of 94731289+1 are [2, 1; 5, 1; 113, 1; 83833, 1] 9734^2= 94750756 and factors of 94750756+1 are [109, 1; 869273, 1] 9735^2= 94770225 and factors of 94770225+1 are [2, 1; 89, 1; 532417, 1] 9736^2= 94789696 and factors of 94789696+1 are [73, 1; 1298489, 1] 9737^2= 94809169 and factors of 94809169+1 are [2, 1; 5, 1; 17, 1; 37, 1; 15073, 1] 9738^2= 94828644 and factors of 94828644+1 are [5, 1; 18965729, 1] 9739^2= 94848121 and factors of 94848121+1 are [2, 1; 6553, 1; 7237, 1] 9740^2= 94867600 and factors of 94867600+1 are [229, 1; 414269, 1] 9741^2= 94887081 and factors of 94887081+1 are [2, 1; 601, 1; 78941, 1] 9742^2= 94906564 and factors of 94906564+1 are [5, 1; 13, 1; 1460101, 1] 9743^2= 94926049 and factors of 94926049+1 are [2, 1; 5, 2; 1898521, 1] 9744^2= 94945536 and factors of 94945536+1 are Prime:([94945537, 1]) 9745^2= 94965025 and factors of 94965025+1 are [2, 1; 13, 1; 17, 1; 214853, 1] 9746^2= 94984516 and factors of 94984516+1 are [4273, 1; 22229, 1] 9747^2= 95004009 and factors of 95004009+1 are [2, 1; 5, 1; 9500401, 1] 9748^2= 95023504 and factors of 95023504+1 are [5, 1; 19004701, 1] 9749^2= 95043001 and factors of 95043001+1 are [2, 1; 41, 1; 61, 1; 19001, 1] 9750^2= 95062500 and factors of 95062500+1 are [257, 1; 369893, 1] 9751^2= 95082001 and factors of 95082001+1 are [2, 1; 47541001, 1] 9752^2= 95101504 and factors of 95101504+1 are [5, 1; 19020301, 1] 9753^2= 95121009 and factors of 95121009+1 are [2, 1; 5, 1; 9512101, 1] 9754^2= 95140516 and factors of 95140516+1 are [17, 1; 757, 1; 7393, 1] 9755^2= 95160025 and factors of 95160025+1 are [2, 1; 13, 1; 73, 1; 181, 1; 277, 1] 9756^2= 95179536 and factors of 95179536+1 are [29, 1; 89, 1; 36877, 1] 9757^2= 95199049 and factors of 95199049+1 are [2, 1; 5, 2; 1903981, 1] 9758^2= 95218564 and factors of 95218564+1 are [5, 1; 13, 1; 1464901, 1] 9759^2= 95238081 and factors of 95238081+1 are [2, 1; 569, 1; 83689, 1] 9760^2= 95257600 and factors of 95257600+1 are Prime:([95257601, 1]) 9761^2= 95277121 and factors of 95277121+1 are [2, 1; 29, 1; 1642709, 1] 9762^2= 95296644 and factors of 95296644+1 are [5, 1; 17, 1; 37, 1; 157, 1; 193, 1] 9763^2= 95316169 and factors of 95316169+1 are [2, 1; 5, 1; 9531617, 1] 9764^2= 95335696 and factors of 95335696+1 are [137, 1; 695881, 1] 9765^2= 95355225 and factors of 95355225+1 are [2, 1; 47677613, 1] 9766^2= 95374756 and factors of 95374756+1 are [269, 1; 354553, 1] 9767^2= 95394289 and factors of 95394289+1 are [2, 1; 5, 1; 41, 1; 232669, 1] 9768^2= 95413824 and factors of 95413824+1 are [5, 2; 13, 1; 173, 1; 1697, 1] 9769^2= 95433361 and factors of 95433361+1 are [2, 1; 641, 1; 74441, 1] 9770^2= 95452900 and factors of 95452900+1 are Prime:([95452901, 1]) 9771^2= 95472441 and factors of 95472441+1 are [2, 1; 13, 1; 17, 1; 61, 1; 3541, 1] 9772^2= 95491984 and factors of 95491984+1 are [5, 1; 2293, 1; 8329, 1] 9773^2= 95511529 and factors of 95511529+1 are [2, 1; 5, 1; 613, 1; 15581, 1] 9774^2= 95531076 and factors of 95531076+1 are [37, 1; 2581921, 1] 9775^2= 95550625 and factors of 95550625+1 are [2, 1; 53, 1; 97, 1; 9293, 1] 9776^2= 95570176 and factors of 95570176+1 are [1889, 1; 50593, 1] 9777^2= 95589729 and factors of 95589729+1 are [2, 1; 5, 1; 109, 1; 87697, 1] 9778^2= 95609284 and factors of 95609284+1 are [5, 1; 19121857, 1] 9779^2= 95628841 and factors of 95628841+1 are [2, 1; 17, 1; 797, 1; 3529, 1] 9780^2= 95648400 and factors of 95648400+1 are [433, 1; 220897, 1] 9781^2= 95667961 and factors of 95667961+1 are [2, 1; 13, 1; 173, 1; 21269, 1] 9782^2= 95687524 and factors of 95687524+1 are [5, 2; 53, 1; 257, 1; 281, 1] 9783^2= 95707089 and factors of 95707089+1 are [2, 1; 5, 1; 9570709, 1] 9784^2= 95726656 and factors of 95726656+1 are [13, 1; 7363589, 1] 9785^2= 95746225 and factors of 95746225+1 are [2, 1; 29, 1; 577, 1; 2861, 1] 9786^2= 95765796 and factors of 95765796+1 are Prime:([95765797, 1]) 9787^2= 95785369 and factors of 95785369+1 are [2, 1; 5, 1; 101, 1; 94837, 1] 9788^2= 95804944 and factors of 95804944+1 are [5, 1; 17, 2; 66301, 1] 9789^2= 95824521 and factors of 95824521+1 are [2, 1; 47912261, 1] 9790^2= 95844100 and factors of 95844100+1 are [29, 1; 41, 1; 149, 1; 541, 1] 9791^2= 95863681 and factors of 95863681+1 are [2, 1; 47931841, 1] 9792^2= 95883264 and factors of 95883264+1 are [5, 1; 19176653, 1] 9793^2= 95902849 and factors of 95902849+1 are [2, 1; 5, 2; 181, 1; 10597, 1] 9794^2= 95922436 and factors of 95922436+1 are [13, 1; 1669, 1; 4421, 1] 9795^2= 95942025 and factors of 95942025+1 are [2, 1; 47971013, 1] 9796^2= 95961616 and factors of 95961616+1 are [17, 1; 5644801, 1] 9797^2= 95981209 and factors of 95981209+1 are [2, 1; 5, 1; 13, 1; 738317, 1] 9798^2= 96000804 and factors of 96000804+1 are [5, 1; 877, 1; 21893, 1] 9799^2= 96020401 and factors of 96020401+1 are [2, 1; 37, 1; 1297573, 1] 9800^2= 96040000 and factors of 96040000+1 are [9661, 1; 9941, 1] 9801^2= 96059601 and factors of 96059601+1 are [2, 1; 2617, 1; 18353, 1] 9802^2= 96079204 and factors of 96079204+1 are [5, 1; 373, 1; 51517, 1] 9803^2= 96098809 and factors of 96098809+1 are [2, 1; 5, 1; 9609881, 1] 9804^2= 96118416 and factors of 96118416+1 are Prime:([96118417, 1]) 9805^2= 96138025 and factors of 96138025+1 are [2, 1; 17, 1; 1613, 1; 1753, 1] 9806^2= 96157636 and factors of 96157636+1 are Prime:([96157637, 1]) 9807^2= 96177249 and factors of 96177249+1 are [2, 1; 5, 3; 13, 1; 101, 1; 293, 1] 9808^2= 96196864 and factors of 96196864+1 are [5, 1; 41, 1; 469253, 1] 9809^2= 96216481 and factors of 96216481+1 are [2, 1; 73, 1; 661, 1; 997, 1] 9810^2= 96236100 and factors of 96236100+1 are [13, 1; 61, 1; 121357, 1] 9811^2= 96255721 and factors of 96255721+1 are [2, 1; 37, 1; 449, 1; 2897, 1] 9812^2= 96275344 and factors of 96275344+1 are [5, 1; 19255069, 1] 9813^2= 96294969 and factors of 96294969+1 are [2, 1; 5, 1; 17, 1; 566441, 1] 9814^2= 96314596 and factors of 96314596+1 are [29, 1; 1217, 1; 2729, 1] 9815^2= 96334225 and factors of 96334225+1 are [2, 1; 48167113, 1] 9816^2= 96353856 and factors of 96353856+1 are [113, 1; 852689, 1] 9817^2= 96373489 and factors of 96373489+1 are [2, 1; 5, 1; 241, 1; 39989, 1] 9818^2= 96393124 and factors of 96393124+1 are [5, 4; 154229, 1] 9819^2= 96412761 and factors of 96412761+1 are [2, 1; 29, 1; 97, 1; 17137, 1] 9820^2= 96432400 and factors of 96432400+1 are [13, 1; 7417877, 1] 9821^2= 96452041 and factors of 96452041+1 are [2, 1; 48226021, 1] 9822^2= 96471684 and factors of 96471684+1 are [5, 1; 17, 1; 1134961, 1] 9823^2= 96491329 and factors of 96491329+1 are [2, 1; 5, 1; 13, 1; 742241, 1] 9824^2= 96510976 and factors of 96510976+1 are [89, 1; 293, 1; 3701, 1] 9825^2= 96530625 and factors of 96530625+1 are [2, 1; 3181, 1; 15173, 1] 9826^2= 96550276 and factors of 96550276+1 are Prime:([96550277, 1]) 9827^2= 96569929 and factors of 96569929+1 are [2, 1; 5, 1; 137, 1; 70489, 1] 9828^2= 96589584 and factors of 96589584+1 are [5, 1; 53, 1; 73, 1; 4993, 1] 9829^2= 96609241 and factors of 96609241+1 are [2, 1; 1801, 1; 26821, 1] 9830^2= 96628900 and factors of 96628900+1 are [17, 1; 709, 1; 8017, 1] 9831^2= 96648561 and factors of 96648561+1 are [2, 1; 41, 1; 1178641, 1] 9832^2= 96668224 and factors of 96668224+1 are [5, 2; 61, 1; 63389, 1] 9833^2= 96687889 and factors of 96687889+1 are [2, 1; 5, 1; 13, 1; 577, 1; 1289, 1] 9834^2= 96707556 and factors of 96707556+1 are [2281, 1; 42397, 1] 9835^2= 96727225 and factors of 96727225+1 are [2, 1; 53, 1; 912521, 1] 9836^2= 96746896 and factors of 96746896+1 are [13, 1; 37, 1; 197, 1; 1021, 1] 9837^2= 96766569 and factors of 96766569+1 are [2, 1; 5, 1; 9676657, 1] 9838^2= 96786244 and factors of 96786244+1 are [5, 1; 19357249, 1] 9839^2= 96805921 and factors of 96805921+1 are [2, 1; 17, 1; 1117, 1; 2549, 1] 9840^2= 96825600 and factors of 96825600+1 are [389, 1; 248909, 1] 9841^2= 96845281 and factors of 96845281+1 are [2, 1; 2389, 1; 20269, 1] 9842^2= 96864964 and factors of 96864964+1 are [5, 1; 353, 1; 54881, 1] 9843^2= 96884649 and factors of 96884649+1 are [2, 1; 5, 2; 29, 1; 109, 1; 613, 1] 9844^2= 96904336 and factors of 96904336+1 are Prime:([96904337, 1]) 9845^2= 96924025 and factors of 96924025+1 are [2, 1; 89, 1; 544517, 1] 9846^2= 96943716 and factors of 96943716+1 are [13, 1; 113, 1; 65993, 1] 9847^2= 96963409 and factors of 96963409+1 are [2, 1; 5, 1; 17, 1; 570373, 1] 9848^2= 96983104 and factors of 96983104+1 are [5, 1; 29, 1; 37, 1; 18077, 1] 9849^2= 97002801 and factors of 97002801+1 are [2, 1; 13, 1; 41, 1; 90997, 1] 9850^2= 97022500 and factors of 97022500+1 are [8117, 1; 11953, 1] 9851^2= 97042201 and factors of 97042201+1 are [2, 1; 48521101, 1] 9852^2= 97061904 and factors of 97061904+1 are [5, 1; 19412381, 1] 9853^2= 97081609 and factors of 97081609+1 are [2, 1; 5, 1; 1721, 1; 5641, 1] 9854^2= 97101316 and factors of 97101316+1 are [761, 1; 127597, 1] 9855^2= 97121025 and factors of 97121025+1 are [2, 1; 48560513, 1] 9856^2= 97140736 and factors of 97140736+1 are [17, 1; 2017, 1; 2833, 1] 9857^2= 97160449 and factors of 97160449+1 are [2, 1; 5, 2; 1943209, 1] 9858^2= 97180164 and factors of 97180164+1 are [5, 1; 19436033, 1] 9859^2= 97199881 and factors of 97199881+1 are [2, 1; 13, 1; 3738457, 1] 9860^2= 97219600 and factors of 97219600+1 are Prime:([97219601, 1]) 9861^2= 97239321 and factors of 97239321+1 are [2, 1; 48619661, 1] 9862^2= 97259044 and factors of 97259044+1 are [5, 1; 13, 1; 397, 1; 3769, 1] 9863^2= 97278769 and factors of 97278769+1 are [2, 1; 5, 1; 157, 1; 61961, 1] 9864^2= 97298496 and factors of 97298496+1 are [17, 2; 197, 1; 1709, 1] 9865^2= 97318225 and factors of 97318225+1 are [2, 1; 48659113, 1] 9866^2= 97337956 and factors of 97337956+1 are [7829, 1; 12433, 1] 9867^2= 97357689 and factors of 97357689+1 are [2, 1; 5, 1; 1049, 1; 9281, 1] 9868^2= 97377424 and factors of 97377424+1 are [5, 2; 3895097, 1] 9869^2= 97397161 and factors of 97397161+1 are [2, 1; 48698581, 1] 9870^2= 97416900 and factors of 97416900+1 are [1069, 1; 91129, 1] 9871^2= 97436641 and factors of 97436641+1 are [2, 1; 61, 1; 269, 1; 2969, 1] 9872^2= 97456384 and factors of 97456384+1 are [5, 1; 13, 2; 29, 1; 41, 1; 97, 1] 9873^2= 97476129 and factors of 97476129+1 are [2, 1; 5, 1; 17, 1; 37, 1; 15497, 1] 9874^2= 97495876 and factors of 97495876+1 are Prime:([97495877, 1]) 9875^2= 97515625 and factors of 97515625+1 are [2, 1; 13, 1; 233, 1; 16097, 1] 9876^2= 97535376 and factors of 97535376+1 are Prime:([97535377, 1]) 9877^2= 97555129 and factors of 97555129+1 are [2, 1; 5, 1; 29, 1; 336397, 1] 9878^2= 97574884 and factors of 97574884+1 are [5, 1; 149, 1; 130973, 1] 9879^2= 97594641 and factors of 97594641+1 are [2, 1; 509, 1; 95869, 1] 9880^2= 97614400 and factors of 97614400+1 are Prime:([97614401, 1]) 9881^2= 97634161 and factors of 97634161+1 are [2, 1; 17, 1; 53, 1; 54181, 1] 9882^2= 97653924 and factors of 97653924+1 are [5, 2; 73, 2; 733, 1] 9883^2= 97673689 and factors of 97673689+1 are [2, 1; 5, 1; 9767369, 1] 9884^2= 97693456 and factors of 97693456+1 are [3637, 1; 26861, 1] 9885^2= 97713225 and factors of 97713225+1 are [2, 1; 13, 1; 37, 1; 101573, 1] 9886^2= 97732996 and factors of 97732996+1 are [109, 1; 896633, 1] 9887^2= 97752769 and factors of 97752769+1 are [2, 1; 5, 1; 1777, 1; 5501, 1] 9888^2= 97772544 and factors of 97772544+1 are [5, 1; 13, 1; 53, 1; 101, 1; 281, 1] 9889^2= 97792321 and factors of 97792321+1 are [2, 1; 48896161, 1] 9890^2= 97812100 and factors of 97812100+1 are [17, 1; 41, 1; 140333, 1] 9891^2= 97831881 and factors of 97831881+1 are [2, 1; 48915941, 1] 9892^2= 97851664 and factors of 97851664+1 are [5, 1; 1621, 1; 12073, 1] 9893^2= 97871449 and factors of 97871449+1 are [2, 1; 5, 2; 61, 1; 32089, 1] 9894^2= 97891236 and factors of 97891236+1 are Prime:([97891237, 1]) 9895^2= 97911025 and factors of 97911025+1 are [2, 1; 929, 1; 52697, 1] 9896^2= 97930816 and factors of 97930816+1 are Prime:([97930817, 1]) 9897^2= 97950609 and factors of 97950609+1 are [2, 1; 5, 1; 3041, 1; 3221, 1] 9898^2= 97970404 and factors of 97970404+1 are [5, 1; 13, 1; 17, 1; 88661, 1] 9899^2= 97990201 and factors of 97990201+1 are [2, 1; 6173, 1; 7937, 1] 9900^2= 98010000 and factors of 98010000+1 are Prime:([98010001, 1]) 9901^2= 98029801 and factors of 98029801+1 are [2, 1; 13, 2; 29, 1; 73, 1; 137, 1] 9902^2= 98049604 and factors of 98049604+1 are [5, 1; 1481, 1; 13241, 1] 9903^2= 98069409 and factors of 98069409+1 are [2, 1; 5, 1; 853, 1; 11497, 1] 9904^2= 98089216 and factors of 98089216+1 are Prime:([98089217, 1]) 9905^2= 98109025 and factors of 98109025+1 are [2, 1; 49054513, 1] 9906^2= 98128836 and factors of 98128836+1 are [29, 1; 3383753, 1] 9907^2= 98148649 and factors of 98148649+1 are [2, 1; 5, 2; 17, 1; 115469, 1] 9908^2= 98168464 and factors of 98168464+1 are [5, 1; 101, 1; 349, 1; 557, 1] 9909^2= 98188281 and factors of 98188281+1 are [2, 1; 733, 1; 66977, 1] 9910^2= 98208100 and factors of 98208100+1 are [37, 1; 2654273, 1] 9911^2= 98227921 and factors of 98227921+1 are [2, 1; 13, 1; 3777997, 1] 9912^2= 98247744 and factors of 98247744+1 are [5, 1; 277, 1; 70937, 1] 9913^2= 98267569 and factors of 98267569+1 are [2, 1; 5, 1; 41, 1; 89, 1; 2693, 1] 9914^2= 98287396 and factors of 98287396+1 are [13, 1; 7560569, 1] 9915^2= 98307225 and factors of 98307225+1 are [2, 1; 17, 1; 2891389, 1] 9916^2= 98327056 and factors of 98327056+1 are [97, 1; 1013681, 1] 9917^2= 98346889 and factors of 98346889+1 are [2, 1; 5, 1; 9834689, 1] 9918^2= 98366724 and factors of 98366724+1 are [5, 2; 3934669, 1] 9919^2= 98386561 and factors of 98386561+1 are [2, 1; 157, 1; 313333, 1] 9920^2= 98406400 and factors of 98406400+1 are [6553, 1; 15017, 1] 9921^2= 98426241 and factors of 98426241+1 are [2, 1; 337, 1; 146033, 1] 9922^2= 98446084 and factors of 98446084+1 are [5, 1; 37, 1; 532141, 1] 9923^2= 98465929 and factors of 98465929+1 are [2, 1; 5, 1; 9846593, 1] 9924^2= 98485776 and factors of 98485776+1 are [13, 1; 17, 1; 193, 1; 2309, 1] 9925^2= 98505625 and factors of 98505625+1 are [2, 1; 49252813, 1] 9926^2= 98525476 and factors of 98525476+1 are [353, 1; 279109, 1] 9927^2= 98545329 and factors of 98545329+1 are [2, 1; 5, 1; 13, 1; 758041, 1] 9928^2= 98565184 and factors of 98565184+1 are [5, 1; 757, 1; 26041, 1] 9929^2= 98585041 and factors of 98585041+1 are [2, 1; 113, 1; 436217, 1] 9930^2= 98604900 and factors of 98604900+1 are [29, 1; 233, 1; 14593, 1] 9931^2= 98624761 and factors of 98624761+1 are [2, 1; 41, 1; 1202741, 1] 9932^2= 98644624 and factors of 98644624+1 are [5, 3; 17, 1; 61, 1; 761, 1] 9933^2= 98664489 and factors of 98664489+1 are [2, 1; 5, 1; 9866449, 1] 9934^2= 98684356 and factors of 98684356+1 are [53, 1; 89, 1; 20921, 1] 9935^2= 98704225 and factors of 98704225+1 are [2, 1; 29, 1; 769, 1; 2213, 1] 9936^2= 98724096 and factors of 98724096+1 are [181, 1; 545437, 1] 9937^2= 98743969 and factors of 98743969+1 are [2, 1; 5, 1; 13, 1; 759569, 1] 9938^2= 98763844 and factors of 98763844+1 are [5, 1; 19752769, 1] 9939^2= 98783721 and factors of 98783721+1 are [2, 1; 149, 1; 331489, 1] 9940^2= 98803600 and factors of 98803600+1 are [13, 1; 7600277, 1] 9941^2= 98823481 and factors of 98823481+1 are [2, 1; 17, 1; 53, 1; 173, 1; 317, 1] 9942^2= 98843364 and factors of 98843364+1 are [5, 1; 19768673, 1] 9943^2= 98863249 and factors of 98863249+1 are [2, 1; 5, 3; 395453, 1] 9944^2= 98883136 and factors of 98883136+1 are [653, 1; 151429, 1] 9945^2= 98903025 and factors of 98903025+1 are [2, 1; 241, 1; 449, 1; 457, 1] 9946^2= 98922916 and factors of 98922916+1 are [2801, 1; 35317, 1] 9947^2= 98942809 and factors of 98942809+1 are [2, 1; 5, 1; 37, 1; 267413, 1] 9948^2= 98962704 and factors of 98962704+1 are [5, 1; 19792541, 1] 9949^2= 98982601 and factors of 98982601+1 are [2, 1; 17, 1; 701, 1; 4153, 1] 9950^2= 99002500 and factors of 99002500+1 are [13, 1; 7615577, 1] 9951^2= 99022401 and factors of 99022401+1 are [2, 1; 49511201, 1] 9952^2= 99042304 and factors of 99042304+1 are [5, 1; 109, 1; 181729, 1] 9953^2= 99062209 and factors of 99062209+1 are [2, 1; 5, 1; 13, 1; 762017, 1] 9954^2= 99082116 and factors of 99082116+1 are [41, 1; 61, 1; 173, 1; 229, 1] 9955^2= 99102025 and factors of 99102025+1 are [2, 1; 73, 1; 193, 1; 3517, 1] 9956^2= 99121936 and factors of 99121936+1 are Prime:([99121937, 1]) 9957^2= 99141849 and factors of 99141849+1 are [2, 1; 5, 2; 1982837, 1] 9958^2= 99161764 and factors of 99161764+1 are [5, 1; 17, 1; 1166609, 1] 9959^2= 99181681 and factors of 99181681+1 are [2, 1; 29, 1; 37, 1; 113, 1; 409, 1] 9960^2= 99201600 and factors of 99201600+1 are [3697, 1; 26833, 1] 9961^2= 99221521 and factors of 99221521+1 are [2, 1; 6469, 1; 7669, 1] 9962^2= 99241444 and factors of 99241444+1 are [5, 1; 337, 1; 58897, 1] 9963^2= 99261369 and factors of 99261369+1 are [2, 1; 5, 1; 13, 1; 763549, 1] 9964^2= 99281296 and factors of 99281296+1 are [29, 1; 137, 1; 24989, 1] 9965^2= 99301225 and factors of 99301225+1 are [2, 1; 2713, 1; 18301, 1] 9966^2= 99321156 and factors of 99321156+1 are [13, 1; 17, 1; 449417, 1] 9967^2= 99341089 and factors of 99341089+1 are [2, 1; 5, 1; 373, 1; 26633, 1] 9968^2= 99361024 and factors of 99361024+1 are [5, 2; 3974441, 1] 9969^2= 99380961 and factors of 99380961+1 are [2, 1; 97, 1; 229, 1; 2237, 1] 9970^2= 99400900 and factors of 99400900+1 are Prime:([99400901, 1]) 9971^2= 99420841 and factors of 99420841+1 are [2, 1; 4057, 1; 12253, 1] 9972^2= 99440784 and factors of 99440784+1 are [5, 1; 41, 1; 509, 1; 953, 1] 9973^2= 99460729 and factors of 99460729+1 are [2, 1; 5, 1; 9946073, 1] 9974^2= 99480676 and factors of 99480676+1 are [73, 1; 181, 1; 7529, 1] 9975^2= 99500625 and factors of 99500625+1 are [2, 1; 17, 1; 1033, 1; 2833, 1] 9976^2= 99520576 and factors of 99520576+1 are [13, 1; 7655429, 1] 9977^2= 99540529 and factors of 99540529+1 are [2, 1; 5, 1; 9954053, 1] 9978^2= 99560484 and factors of 99560484+1 are [5, 1; 19912097, 1] 9979^2= 99580441 and factors of 99580441+1 are [2, 1; 13, 1; 3830017, 1] 9980^2= 99600400 and factors of 99600400+1 are Prime:([99600401, 1]) 9981^2= 99620361 and factors of 99620361+1 are [2, 1; 49810181, 1] 9982^2= 99640324 and factors of 99640324+1 are [5, 2; 1801, 1; 2213, 1] 9983^2= 99660289 and factors of 99660289+1 are [2, 1; 5, 1; 17, 1; 586237, 1] 9984^2= 99680256 and factors of 99680256+1 are [37, 1; 2694061, 1] 9985^2= 99700225 and factors of 99700225+1 are [2, 1; 349, 1; 142837, 1] 9986^2= 99720196 and factors of 99720196+1 are Prime:([99720197, 1]) 9987^2= 99740169 and factors of 99740169+1 are [2, 1; 5, 1; 53, 1; 188189, 1] 9988^2= 99760144 and factors of 99760144+1 are [5, 1; 29, 1; 397, 1; 1733, 1] 9989^2= 99780121 and factors of 99780121+1 are [2, 1; 13, 1; 101, 1; 37997, 1] 9990^2= 99800100 and factors of 99800100+1 are Prime:([99800101, 1]) 9991^2= 99820081 and factors of 99820081+1 are [2, 1; 313, 1; 159457, 1] 9992^2= 99840064 and factors of 99840064+1 are [5, 1; 13, 1; 17, 1; 90353, 1] 9993^2= 99860049 and factors of 99860049+1 are [2, 1; 5, 2; 29, 1; 61, 1; 1129, 1] 9994^2= 99880036 and factors of 99880036+1 are [53, 1; 1884529, 1] 9995^2= 99900025 and factors of 99900025+1 are [2, 1; 41, 1; 109, 1; 11177, 1] 9996^2= 99920016 and factors of 99920016+1 are [37, 1; 2700541, 1] 9997^2= 99940009 and factors of 99940009+1 are [2, 1; 5, 1; 9994001, 1] 9998^2= 99960004 and factors of 99960004+1 are [5, 1; 19992001, 1] 9999^2= 99980001 and factors of 99980001+1 are [2, 1; 389, 1; 128509, 1] 10000^2= 100000000 and factors of 100000000+1 are [17, 1; 5882353, 1] -end- Bio: Jason Earls is the author of Cocoon of Terror (Afterbirth Books), Heartless Bastard In Ecstasy, How to Become a Guitar Player from Hell, Zombies of the Red Descent, If(Sid_Vicious == TRUE && Alan_Turing == TRUE) {ERROR_Cyberpunk(); }, Red Zen, and 0.136101521283655... all available at Amazon.com and other online book stores. His fiction and mathematical work have been published in Red Scream, Yankee Pot Roast, M-Brane SF, Scientia Magna, three of Clifford Pickover’s books, Mathworld.com, AlienSkin, Recreational and Educational Computing, Escaping Elsewhere, Neometropolis, Thirteen, Dogmatika, Prime Curios, the Online Encyclopedia of Integer Sequences, OG’s Speculative Fiction, Nocturnal Ooze, Bust Down the Door and Eat All the Chickens and other publications. He currently resides in Oklahoma with his wife, Christine.