Primality proof for n = 4899733:
Take b = 2.
b^(n-1) mod n = 1.
408311 is prime. b^((n-1)/408311)-1 mod n = 4095, which is a unit, inverse 2019719.
(408311) divides n-1.
(408311)^2 > n.
n is prime by Pocklington's theorem.