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.