Primality proof for n = 28307:

Take b = 2.

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

14153 is prime.
b^((n-1)/14153)-1 mod n = 3, which is a unit, inverse 9436.

(14153) divides n-1.

(14153)^2 > n.

n is prime by Pocklington's theorem.