Primality proof for n = 6761:
Take b = 2.
b^(n-1) mod n = 1.
13 is prime. b^((n-1)/13)-1 mod n = 3922, which is a unit, inverse 874.
(13^2) divides n-1.
(13^2)^2 > n.
n is prime by Pocklington's theorem.