Primality proof for n = 661:
Take b = 2.
b^(n-1) mod n = 1.
11 is prime.
b^((n-1)/11)-1 mod n = 633, which is a unit, inverse 118.
5 is prime.
b^((n-1)/5)-1 mod n = 246, which is a unit, inverse 352.
(5 * 11) divides n-1.
(5 * 11)^2 > n.
n is prime by Pocklington's theorem.