Primality proof for n = 325470079171:

Take b = 2.

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

68232721 is prime.
b^((n-1)/68232721)-1 mod n = 95249040897, which is a unit, inverse 318453407809.

(68232721) divides n-1.

(68232721)^2 > n.

n is prime by Pocklington's theorem.