Primality proof for n = 297159362677:

Take b = 2.

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

1627771 is prime.
b^((n-1)/1627771)-1 mod n = 114170894340, which is a unit, inverse 44169280672.

(1627771) divides n-1.

(1627771)^2 > n.

n is prime by Pocklington's theorem.