Primality proof for n = 28859:

Take b = 2.

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

307 is prime.
b^((n-1)/307)-1 mod n = 16876, which is a unit, inverse 24695.

(307) divides n-1.

(307)^2 > n.

n is prime by Pocklington's theorem.