Primality proof for n = 3224909:

Take b = 2.

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

42433 is prime.
b^((n-1)/42433)-1 mod n = 299772, which is a unit, inverse 1286889.

(42433) divides n-1.

(42433)^2 > n.

n is prime by Pocklington's theorem.