Primality proof for n = 3824551:
Take b = 2.
b^(n-1) mod n = 1.
2833 is prime. b^((n-1)/2833)-1 mod n = 2872208, which is a unit, inverse 2513082.
(2833) divides n-1.
(2833)^2 > n.
n is prime by Pocklington's theorem.