Primality proof for n = 33191:
Take b = 2.
b^(n-1) mod n = 1.
3319 is prime. b^((n-1)/3319)-1 mod n = 1023, which is a unit, inverse 22030.
(3319) divides n-1.
(3319)^2 > n.
n is prime by Pocklington's theorem.