Primality proof for n = 75941:
Take b = 2.
b^(n-1) mod n = 1.
3797 is prime. b^((n-1)/3797)-1 mod n = 61342, which is a unit, inverse 51014.
(3797) divides n-1.
(3797)^2 > n.
n is prime by Pocklington's theorem.