Primality proof for n = 545892229581467:

Take b = 2.

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

354936430157 is prime.
b^((n-1)/354936430157)-1 mod n = 167174330147262, which is a unit, inverse 86930993119362.

(354936430157) divides n-1.

(354936430157)^2 > n.

n is prime by Pocklington's theorem.