Primality proof for n = 407203:

Take b = 2.

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

67867 is prime.
b^((n-1)/67867)-1 mod n = 63, which is a unit, inverse 323177.

(67867) divides n-1.

(67867)^2 > n.

n is prime by Pocklington's theorem.