Primality proof for n = 450180037:

Take b = 2.

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

337973 is prime.
b^((n-1)/337973)-1 mod n = 346312467, which is a unit, inverse 245084851.

(337973) divides n-1.

(337973)^2 > n.

n is prime by Pocklington's theorem.