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.