Primality proof for n = 1354841:
Take b = 2.
b^(n-1) mod n = 1.
33871 is prime. b^((n-1)/33871)-1 mod n = 1252953, which is a unit, inverse 741793.
(33871) divides n-1.
(33871)^2 > n.
n is prime by Pocklington's theorem.