Primality proof for n = 1206781:
Take b = 2.
b^(n-1) mod n = 1.
20113 is prime. b^((n-1)/20113)-1 mod n = 78447, which is a unit, inverse 709359.
(20113) divides n-1.
(20113)^2 > n.
n is prime by Pocklington's theorem.