Primality proof for n = 73:
Take b = 2.
b^(n-1) mod n = 1.
3 is prime. b^((n-1)/3)-1 mod n = 63, which is a unit, inverse 51.
(3^2) divides n-1.
(3^2)^2 > n.
n is prime by Pocklington's theorem.