Primality proof for n = 78797:
Take b = 2.
b^(n-1) mod n = 1.
19699 is prime. b^((n-1)/19699)-1 mod n = 15, which is a unit, inverse 36772.
(19699) divides n-1.
(19699)^2 > n.
n is prime by Pocklington's theorem.