Primality proof for n = 4051:
Take b = 3.
b^(n-1) mod n = 1.
3 is prime. b^((n-1)/3)-1 mod n = 796, which is a unit, inverse 1084.
(3^4) divides n-1.
(3^4)^2 > n.
n is prime by Pocklington's theorem.