Primality proof for n = 4079:
Take b = 2.
b^(n-1) mod n = 1.
2039 is prime. b^((n-1)/2039)-1 mod n = 3, which is a unit, inverse 1360.
(2039) divides n-1.
(2039)^2 > n.
n is prime by Pocklington's theorem.