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.