Primality proof for n = 17957:
Take b = 2.
b^(n-1) mod n = 1.
67 is prime. b^((n-1)/67)-1 mod n = 14920, which is a unit, inverse 4269.
(67^2) divides n-1.
(67^2)^2 > n.
n is prime by Pocklington's theorem.