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Number Theory Calculators

Prime Number Checker

Check whether a number is prime instantly (up to 24 digits), see its smallest factor and the nearest primes.

Enter values

Results update as you type.

Result

Is it prime?

Yes — 97 is prime

Next prime
101
Previous prime
89

About the Prime Number Checker

Check whether a number is prime instantly (up to 24 digits), see its smallest factor and the nearest primes.

Also known as: is it prime, prime checker, prime number calculator, is prime, prime test.

How to use this calculator

  1. Enter whole number.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

A prime has exactly two divisors: 1 and itself

Worked example

Using the values pre-filled in the calculator above:

  • Whole number: 97

the calculator returns:

  • Is it prime?: Yes — 97 is prime
  • Next prime: 101
  • Previous prime: 89

Frequently asked questions

Is 1 a prime number?

No. A prime must have exactly two distinct divisors; 1 has only one.

How does the checker test large numbers?

It uses the deterministic Miller–Rabin test with fixed bases, which is proven correct for all numbers below 3.3 × 10²⁴.