Prime Number Calculator
Prime Number Calculator
Prime Numbers Generator and Checker (a.k.a prime number calculator) supports following
operations on natural numbers or expressions with + - * / ^ ! operators that evaluate to natural
numbers: Check - determines if the given number is prime, Find next - finds the smallest
prime number greater than the provided number, Find previous - finds the largest prime
number smaller than the given number. Prime number is a natural number with exactly two
distinct natural number divisors: 1 and itself. Natural number is a positive integer number.
Prime numbers are positive, non-zero numbers that have exactly two factors -- no more, no
Note: There is a limit to how big of a number you can check, depending on your browser, and
operating system. When calculating prime numbers larger than 99999999999999 be sure to
check if the calculator changed your number.
Prime Number Calculation
Dynamically Calculate Prime Numbers. This page will help you in finding next largest and next
smallest prime numbers of a number. Listing first 100 / 1000 prime number as chart. Checking
if a given number is prime.
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Just enter a number into the box on top and click on the button that says calculate. Recall that
a number is prime if it can only be divided by 1 and itself
For example, 8 is not prime because it can be divided by 2
7 is prime because it can only be divided by 1 and 7 Sometimes, it is tricky to see if a number
is prime or not. Try putting 93 in the calculator and you will see that 93 is not prime because it
can be divided by 3 and 31. However, 93 looks prime if you do not take time to think about.
Use the calculator below to practice until you have no problem recognizing what a prime
The Prime Number Trick
Using prime numbers, you can amaze your friends with a prime prediction...
1. Ask your friends to pick any prime number bigger than 5, but they must not tell you what it
2. Square it. (In other words multiply the prime number by itself.)
3. Add 17
4. Divide by 12
Without knowing which prime number your friends picked, you can still tell them:
The "24" Mystery!
A Murderous Maths fan called OBAID pointed out that if you square ANY prime number bigger
then 3, then subtract 1, the answer always divides by 24!
E.g. 112 = 121 then 121 - 1 = 120 and yes 120 does divide by 24.
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If you understand algebra, (and you've read The Phantom X ) then you'll know that all prime
numbers can be written as (6n+1) or (6n-1).
(6n+1)2 = 36n2+12n+1. So (6n+1)2 -1 = 36n2+12n. This factorises to 12n(3n+1). Either n or
(3n+1) must be even, therefore the whole expression must be divisible by 24.
(6n-1)2 = 36n2-12n+1. So (6n-1)2 -1 = 36n2-12n. This factorises to 12n(3n-1). Either n or (3n-
1) must be even, therefore the whole expression must be divisible by 24.
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