Primality proof for n = 2998279:

Take b = 2.

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

166571 is prime.
b^((n-1)/166571)-1 mod n = 262143, which is a unit, inverse 426873.

(166571) divides n-1.

(166571)^2 > n.

n is prime by Pocklington's theorem.