Primality proof for n = 3329:
Take b = 3.
b^(n-1) mod n = 1.
13 is prime.
b^((n-1)/13)-1 mod n = 2969, which is a unit, inverse 823.
2 is prime.
b^((n-1)/2)-1 mod n = 3327, which is a unit, inverse 1664.
(2^8 * 13) divides n-1.
(2^8 * 13)^2 > n.
n is prime by Pocklington's theorem.