Primality proof for n = 402021673:

Take b = 2.

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

1288531 is prime.
b^((n-1)/1288531)-1 mod n = 297945233, which is a unit, inverse 142086214.

(1288531) divides n-1.

(1288531)^2 > n.

n is prime by Pocklington's theorem.