Primality proof for n = 74050321:
Take b = 2.
b^(n-1) mod n = 1.
269 is prime.
b^((n-1)/269)-1 mod n = 9879702, which is a unit, inverse 20740614.
37 is prime.
b^((n-1)/37)-1 mod n = 32266437, which is a unit, inverse 20400376.
(37 * 269) divides n-1.
(37 * 269)^2 > n.
n is prime by Pocklington's theorem.