Primality proof for n = 3943:

Take b = 2.

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

73 is prime.
b^((n-1)/73)-1 mod n = 1405, which is a unit, inverse 2015.

(73) divides n-1.

(73)^2 > n.

n is prime by Pocklington's theorem.