Primality proof for n = 3769:

Take b = 2.

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

157 is prime.
b^((n-1)/157)-1 mod n = 1396, which is a unit, inverse 1898.

(157) divides n-1.

(157)^2 > n.

n is prime by Pocklington's theorem.