Primality proof for n = 5481473:

Take b = 2.

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

101 is prime.
b^((n-1)/101)-1 mod n = 1821509, which is a unit, inverse 4523687.

53 is prime.
b^((n-1)/53)-1 mod n = 545983, which is a unit, inverse 2270545.

(53 * 101) divides n-1.

(53 * 101)^2 > n.

n is prime by Pocklington's theorem.