Primality proof for n = 54897371:

Take b = 2.

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

499067 is prime.
b^((n-1)/499067)-1 mod n = 10220583, which is a unit, inverse 8727416.

(499067) divides n-1.

(499067)^2 > n.

n is prime by Pocklington's theorem.