Primality proof for n = 499067:
Take b = 2.
b^(n-1) mod n = 1.
249533 is prime. b^((n-1)/249533)-1 mod n = 3, which is a unit, inverse 166356.
(249533) divides n-1.
(249533)^2 > n.
n is prime by Pocklington's theorem.