Primality proof for n = 2833687:

Take b = 2.

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

157427 is prime.
b^((n-1)/157427)-1 mod n = 262143, which is a unit, inverse 1809922.

(157427) divides n-1.

(157427)^2 > n.

n is prime by Pocklington's theorem.