Primality proof for n = 3670871:
Take b = 2.
b^(n-1) mod n = 1.
229 is prime. b^((n-1)/229)-1 mod n = 2900748, which is a unit, inverse 2596531.
(229^2) divides n-1.
(229^2)^2 > n.
n is prime by Pocklington's theorem.