Primality proof for n = 1146787:
Take b = 2.
b^(n-1) mod n = 1.
11243 is prime. b^((n-1)/11243)-1 mod n = 163090, which is a unit, inverse 1145008.
(11243) divides n-1.
(11243)^2 > n.
n is prime by Pocklington's theorem.