Primality proof for n = 80491:

Take b = 2.

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

2683 is prime.
b^((n-1)/2683)-1 mod n = 72374, which is a unit, inverse 25961.

(2683) divides n-1.

(2683)^2 > n.

n is prime by Pocklington's theorem.