Primality proof for n = 9265609:

Take b = 2.

b^(n-1) mod n = 1.

11699 is prime.
b^((n-1)/11699)-1 mod n = 5184505, which is a unit, inverse 3020700.

(11699) divides n-1.

(11699)^2 > n.

n is prime by Pocklington's theorem.