Primality proof for n = 995987:
Take b = 2.
b^(n-1) mod n = 1.
497993 is prime. b^((n-1)/497993)-1 mod n = 3, which is a unit, inverse 331996.
(497993) divides n-1.
(497993)^2 > n.
n is prime by Pocklington's theorem.