Primality proof for n = 532247449:

Take b = 2.

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

363557 is prime.
b^((n-1)/363557)-1 mod n = 56715985, which is a unit, inverse 202966419.

(363557) divides n-1.

(363557)^2 > n.

n is prime by Pocklington's theorem.