Primality proof for n = 7959649:

Take b = 2.

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

82913 is prime.
b^((n-1)/82913)-1 mod n = 7818849, which is a unit, inverse 2512773.

(82913) divides n-1.

(82913)^2 > n.

n is prime by Pocklington's theorem.