Primality proof for n = 1206941:
Take b = 2.
b^(n-1) mod n = 1.
233 is prime.
b^((n-1)/233)-1 mod n = 445776, which is a unit, inverse 66916.
37 is prime.
b^((n-1)/37)-1 mod n = 185486, which is a unit, inverse 793173.
(37 * 233) divides n-1.
(37 * 233)^2 > n.
n is prime by Pocklington's theorem.