Primality proof for n = 757986407:

Take b = 2.

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

245621 is prime.
b^((n-1)/245621)-1 mod n = 29843288, which is a unit, inverse 449445586.

(245621) divides n-1.

(245621)^2 > n.

n is prime by Pocklington's theorem.