Primality proof for n = 601:
Take b = 2.
b^(n-1) mod n = 1.
5 is prime. b^((n-1)/5)-1 mod n = 431, which is a unit, inverse 251.
(5^2) divides n-1.
(5^2)^2 > n.
n is prime by Pocklington's theorem.