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.