Primality proof for n = 3270593687:
Take b = 2.
b^(n-1) mod n = 1.
1635296843 is prime. b^((n-1)/1635296843)-1 mod n = 3, which is a unit, inverse 1090197896.
(1635296843) divides n-1.
(1635296843)^2 > n.
n is prime by Pocklington's theorem.