Primality proof for n = 245161069:
Take b = 2.
b^(n-1) mod n = 1.
118093 is prime. b^((n-1)/118093)-1 mod n = 110456304, which is a unit, inverse 45350134.
(118093) divides n-1.
(118093)^2 > n.
n is prime by Pocklington's theorem.