Primality proof for n = 9187:
Take b = 2.
b^(n-1) mod n = 1.
1531 is prime. b^((n-1)/1531)-1 mod n = 63, which is a unit, inverse 3354.
(1531) divides n-1.
(1531)^2 > n.
n is prime by Pocklington's theorem.