Primality proof for n = 2245631:

Take b = 2.

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

224563 is prime.
b^((n-1)/224563)-1 mod n = 1023, which is a unit, inverse 15366.

(224563) divides n-1.

(224563)^2 > n.

n is prime by Pocklington's theorem.