Primality proof for n = 95024118539459:
Take b = 2.
b^(n-1) mod n = 1.
9801157 is prime.
b^((n-1)/9801157)-1 mod n = 74831220632818, which is a unit, inverse 40427696818302.
(9801157) divides n-1.
(9801157)^2 > n.
n is prime by Pocklington's theorem.