math calculator

Prime Number Checker

Quickly determine if any number is prime or composite.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Enter a positive integer

Estimate Results

Enter values to see the result.

Example

17 → Prime

Formula

Trial division up to √n

Check divisibility by 2, 3, then 6k±1 up to square root of n. If no divisors found → prime.

2 and 3 are handled separately for optimization

Check

Thinking 1 is prime (it is not)
Confirm that all inputs use the same unit system expected by the formula.

Next Step

FAQ

Why is 2 the only even prime?

All other even numbers are divisible by 2, so they are composite.

Is 1 considered prime?

No — primes must have exactly two distinct positive divisors (1 and itself). 1 has only one.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.