Primality proof for n = 9749:
Take b = 2.
b^(n-1) mod n = 1.
2437 is prime. b^((n-1)/2437)-1 mod n = 15, which is a unit, inverse 650.
(2437) divides n-1.
(2437)^2 > n.
n is prime by Pocklington's theorem.