Primality proof for n = 2013751:
Take b = 2.
b^(n-1) mod n = 1.
179 is prime.
b^((n-1)/179)-1 mod n = 1169853, which is a unit, inverse 1926011.
5 is prime.
b^((n-1)/5)-1 mod n = 1586638, which is a unit, inverse 1224329.
(5^4 * 179) divides n-1.
(5^4 * 179)^2 > n.
n is prime by Pocklington's theorem.