Primality proof for n = 23956433:
Take b = 2.
b^(n-1) mod n = 1.
65099 is prime. b^((n-1)/65099)-1 mod n = 7577688, which is a unit, inverse 21950026.
(65099) divides n-1.
(65099)^2 > n.
n is prime by Pocklington's theorem.