Primality proof for n = 5080793:
Take b = 2.
b^(n-1) mod n = 1.
521 is prime.
b^((n-1)/521)-1 mod n = 2846494, which is a unit, inverse 2767868.
23 is prime.
b^((n-1)/23)-1 mod n = 2187387, which is a unit, inverse 488146.
(23 * 521) divides n-1.
(23 * 521)^2 > n.
n is prime by Pocklington's theorem.