Primality proof for n = 748169:
Take b = 2.
b^(n-1) mod n = 1.
2281 is prime. b^((n-1)/2281)-1 mod n = 628215, which is a unit, inverse 53683.
(2281) divides n-1.
(2281)^2 > n.
n is prime by Pocklington's theorem.