Primality proof for n = 33871:
Take b = 2.
b^(n-1) mod n = 1.
1129 is prime. b^((n-1)/1129)-1 mod n = 31123, which is a unit, inverse 18279.
(1129) divides n-1.
(1129)^2 > n.
n is prime by Pocklington's theorem.