Primality proof for n = 3969899:
Take b = 2.
b^(n-1) mod n = 1.
104471 is prime. b^((n-1)/104471)-1 mod n = 2100183, which is a unit, inverse 2243650.
(104471) divides n-1.
(104471)^2 > n.
n is prime by Pocklington's theorem.