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.