Primality proof for n = 14867:

Take b = 2.

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

7433 is prime.
b^((n-1)/7433)-1 mod n = 3, which is a unit, inverse 4956.

(7433) divides n-1.

(7433)^2 > n.

n is prime by Pocklington's theorem.