Primality proof for n = 5071793:

Take b = 2.

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

28817 is prime.
b^((n-1)/28817)-1 mod n = 1529467, which is a unit, inverse 1101785.

(28817) divides n-1.

(28817)^2 > n.

n is prime by Pocklington's theorem.