Primality proof for n = 64817:
Take b = 2.
b^(n-1) mod n = 1.
4051 is prime. b^((n-1)/4051)-1 mod n = 718, which is a unit, inverse 39811.
(4051) divides n-1.
(4051)^2 > n.
n is prime by Pocklington's theorem.