Primality proof for n = 3734491:

Take b = 2.

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

443 is prime.
b^((n-1)/443)-1 mod n = 1757904, which is a unit, inverse 3403962.

281 is prime.
b^((n-1)/281)-1 mod n = 1474772, which is a unit, inverse 642019.

(281 * 443) divides n-1.

(281 * 443)^2 > n.

n is prime by Pocklington's theorem.