Primality proof for n = 80803:

Take b = 2.

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

67 is prime.
b^((n-1)/67)-1 mod n = 16409, which is a unit, inverse 5530.

(67^2) divides n-1.

(67^2)^2 > n.

n is prime by Pocklington's theorem.