Primality proof for n = 231503:
Take b = 2.
b^(n-1) mod n = 1.
115751 is prime. b^((n-1)/115751)-1 mod n = 3, which is a unit, inverse 77168.
(115751) divides n-1.
(115751)^2 > n.
n is prime by Pocklington's theorem.