Primality proof for n = 990435552551:
Take b = 2.
b^(n-1) mod n = 1.
2245631 is prime. b^((n-1)/2245631)-1 mod n = 957469282789, which is a unit, inverse 59801225846.
(2245631) divides n-1.
(2245631)^2 > n.
n is prime by Pocklington's theorem.