Primality proof for n = 1389386771:

Take b = 2.

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

767617 is prime.
b^((n-1)/767617)-1 mod n = 494935008, which is a unit, inverse 1058683819.

(767617) divides n-1.

(767617)^2 > n.

n is prime by Pocklington's theorem.