Primality proof for n = 28336003:

Take b = 2.

b^(n-1) mod n = 1.

503 is prime.
b^((n-1)/503)-1 mod n = 19093137, which is a unit, inverse 13473206.

229 is prime.
b^((n-1)/229)-1 mod n = 11127042, which is a unit, inverse 14811932.

(229 * 503) divides n-1.

(229 * 503)^2 > n.

n is prime by Pocklington's theorem.