Primality proof for n = 149459:
Take b = 2.
b^(n-1) mod n = 1.
74729 is prime. b^((n-1)/74729)-1 mod n = 3, which is a unit, inverse 49820.
(74729) divides n-1.
(74729)^2 > n.
n is prime by Pocklington's theorem.