Primality proof for n = 1746439:

Take b = 2.

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

10037 is prime.
b^((n-1)/10037)-1 mod n = 1203711, which is a unit, inverse 262036.

(10037) divides n-1.

(10037)^2 > n.

n is prime by Pocklington's theorem.