Primality proof for n = 670261:
Take b = 2.
b^(n-1) mod n = 1.
11171 is prime. b^((n-1)/11171)-1 mod n = 201447, which is a unit, inverse 647719.
(11171) divides n-1.
(11171)^2 > n.
n is prime by Pocklington's theorem.