Primality proof for n = 13610371:

Take b = 2.

b^(n-1) mod n = 1.

26687 is prime.
b^((n-1)/26687)-1 mod n = 4425159, which is a unit, inverse 6138432.

(26687) divides n-1.

(26687)^2 > n.

n is prime by Pocklington's theorem.