Primality proof for n = 1466449:

Take b = 3.

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

223 is prime.
b^((n-1)/223)-1 mod n = 94777, which is a unit, inverse 179173.

137 is prime.
b^((n-1)/137)-1 mod n = 53092, which is a unit, inverse 632933.

(137 * 223) divides n-1.

(137 * 223)^2 > n.

n is prime by Pocklington's theorem.