Primality proof for n = 1798367:

Take b = 2.

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

899183 is prime.
b^((n-1)/899183)-1 mod n = 3, which is a unit, inverse 599456.

(899183) divides n-1.

(899183)^2 > n.

n is prime by Pocklington's theorem.