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.