Primality proof for n = 26711:
Take b = 2.
b^(n-1) mod n = 1.
2671 is prime. b^((n-1)/2671)-1 mod n = 1023, which is a unit, inverse 4491.
(2671) divides n-1.
(2671)^2 > n.
n is prime by Pocklington's theorem.