Primality proof for n = 73043:

Take b = 2.

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

619 is prime.
b^((n-1)/619)-1 mod n = 12762, which is a unit, inverse 56050.

(619) divides n-1.

(619)^2 > n.

n is prime by Pocklington's theorem.