Primality proof for n = 5107:
Take b = 2.
b^(n-1) mod n = 1.
37 is prime.
b^((n-1)/37)-1 mod n = 33, which is a unit, inverse 4488.
23 is prime.
b^((n-1)/23)-1 mod n = 1868, which is a unit, inverse 298.
(23 * 37) divides n-1.
(23 * 37)^2 > n.
n is prime by Pocklington's theorem.