Primality proof for n = 3075203:
Take b = 2.
b^(n-1) mod n = 1.
118277 is prime. b^((n-1)/118277)-1 mod n = 2529600, which is a unit, inverse 1889340.
(118277) divides n-1.
(118277)^2 > n.
n is prime by Pocklington's theorem.