Primality proof for n = 63521:

Take b = 2.

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

397 is prime.
b^((n-1)/397)-1 mod n = 23268, which is a unit, inverse 14892.

(397) divides n-1.

(397)^2 > n.

n is prime by Pocklington's theorem.