Primality proof for n = 326257:

Take b = 2.

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

971 is prime.
b^((n-1)/971)-1 mod n = 244380, which is a unit, inverse 102754.

(971) divides n-1.

(971)^2 > n.

n is prime by Pocklington's theorem.