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.