Question 1

How do you test if a number is prime?

Accepted Answer

Trial division up to sqrt(n) works for small n; faster probabilistic tests like Miller-Rabin are used for large n.

Question 2

What is prime factorization?

Accepted Answer

Expressing n as a product of prime numbers; unique up to order (Fundamental Theorem of Arithmetic).

Question 3

Why are primes important?

Accepted Answer

They underpin number theory and practical cryptography (RSA, Diffie-Hellman).

Question 4

Can the calculator handle big integers?

Accepted Answer

Yes—big integers are supported; primality may use probabilistic tests for speed.

Question 5

What are twin primes?

Accepted Answer

Pairs of primes that differ by 2, like (11, 13).

Prime Number Calculator