Primality proof for n = 1866869:

Take b = 2.

b^(n-1) mod n = 1.

466717 is prime.
b^((n-1)/466717)-1 mod n = 15, which is a unit, inverse 124458.

(466717) divides n-1.

(466717)^2 > n.

n is prime by Pocklington's theorem.