Primality proof for n = 3863568481:
Take b = 2.
b^(n-1) mod n = 1.
8049101 is prime. b^((n-1)/8049101)-1 mod n = 3393365178, which is a unit, inverse 1639958190.
(8049101) divides n-1.
(8049101)^2 > n.
n is prime by Pocklington's theorem.