Primality proof for n = 24120413:

Take b = 2.

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

6030103 is prime.
b^((n-1)/6030103)-1 mod n = 15, which is a unit, inverse 20904358.

(6030103) divides n-1.

(6030103)^2 > n.

n is prime by Pocklington's theorem.