Primality proof for n = 33923599:

Take b = 2.

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

152809 is prime.
b^((n-1)/152809)-1 mod n = 9340464, which is a unit, inverse 12720823.

(152809) divides n-1.

(152809)^2 > n.

n is prime by Pocklington's theorem.