Primality proof for n = 105465631:
Take b = 2.
b^(n-1) mod n = 1.
13367 is prime. b^((n-1)/13367)-1 mod n = 78944065, which is a unit, inverse 60399229.
(13367) divides n-1.
(13367)^2 > n.
n is prime by Pocklington's theorem.