There is literally an entirely deterministic algorithm for checking primality, so you can be 100% sure that a randomly-generated number is prime: https://en.wik

There is literally an entirely deterministic algorithm for checking primality, so you can be 100% sure that a randomly-generated number is prime: https://en.wikipedia.org/wiki/AKS_primality_test https://en.wikipedia.org/wiki/AKS_primality_test