Primality proof for n = 991864807:
Take b = 2.
b^(n-1) mod n = 1.
165310801 is prime. b^((n-1)/165310801)-1 mod n = 63, which is a unit, inverse 362109374.
(165310801) divides n-1.
(165310801)^2 > n.
n is prime by Pocklington's theorem.