Primality proof for n = 28430359:
Take b = 2.
b^(n-1) mod n = 1.
25339 is prime. b^((n-1)/25339)-1 mod n = 25499506, which is a unit, inverse 332810.
(25339) divides n-1.
(25339)^2 > n.
n is prime by Pocklington's theorem.