Primality proof for n = 1898722439:

Take b = 2.

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

868583 is prime.
b^((n-1)/868583)-1 mod n = 1209578668, which is a unit, inverse 947448799.

(868583) divides n-1.

(868583)^2 > n.

n is prime by Pocklington's theorem.