Primality proof for n = 173297:

Take b = 2.

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

10831 is prime.
b^((n-1)/10831)-1 mod n = 65535, which is a unit, inverse 99935.

(10831) divides n-1.

(10831)^2 > n.

n is prime by Pocklington's theorem.