Primality proof for n = 3203657:

Take b = 2.

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

400457 is prime.
b^((n-1)/400457)-1 mod n = 255, which is a unit, inverse 1218646.

(400457) divides n-1.

(400457)^2 > n.

n is prime by Pocklington's theorem.