Primality proof for n = 26687:
Take b = 2.
b^(n-1) mod n = 1.
1213 is prime. b^((n-1)/1213)-1 mod n = 4444, which is a unit, inverse 16244.
(1213) divides n-1.
(1213)^2 > n.
n is prime by Pocklington's theorem.