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.