Primality proof for n = 145967:
Take b = 2.
b^(n-1) mod n = 1.
1237 is prime. b^((n-1)/1237)-1 mod n = 115957, which is a unit, inverse 145252.
(1237) divides n-1.
(1237)^2 > n.
n is prime by Pocklington's theorem.