Primality proof for n = 732191:

Take b = 2.

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

73 is prime.
b^((n-1)/73)-1 mod n = 718004, which is a unit, inverse 626855.

59 is prime.
b^((n-1)/59)-1 mod n = 123661, which is a unit, inverse 343362.

(59 * 73) divides n-1.

(59 * 73)^2 > n.

n is prime by Pocklington's theorem.