Primality proof for n = 66721073718023:
Take b = 2.
b^(n-1) mod n = 1.
91309423 is prime.
b^((n-1)/91309423)-1 mod n = 63631457236067, which is a unit, inverse 58727005515932.
(91309423) divides n-1.
(91309423)^2 > n.
n is prime by Pocklington's theorem.