Primality proof for n = 148927:
Take b = 2.
b^(n-1) mod n = 1.
24821 is prime. b^((n-1)/24821)-1 mod n = 63, which is a unit, inverse 89829.
(24821) divides n-1.
(24821)^2 > n.
n is prime by Pocklington's theorem.