Primality proof for n = 9533:
Take b = 2.
b^(n-1) mod n = 1.
2383 is prime. b^((n-1)/2383)-1 mod n = 15, which is a unit, inverse 8262.
(2383) divides n-1.
(2383)^2 > n.
n is prime by Pocklington's theorem.