Primality proof for n = 13327:

Take b = 2.

b^(n-1) mod n = 1.

2221 is prime.
b^((n-1)/2221)-1 mod n = 63, which is a unit, inverse 10577.

(2221) divides n-1.

(2221)^2 > n.

n is prime by Pocklington's theorem.