Primality proof for n = 74729:
Take b = 2.
b^(n-1) mod n = 1.
9341 is prime. b^((n-1)/9341)-1 mod n = 255, which is a unit, inverse 26668.
(9341) divides n-1.
(9341)^2 > n.
n is prime by Pocklington's theorem.