Primality proof for n = 380103483577:

Take b = 2.

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

26889041 is prime.
b^((n-1)/26889041)-1 mod n = 38559691662, which is a unit, inverse 349969380950.

(26889041) divides n-1.

(26889041)^2 > n.

n is prime by Pocklington's theorem.