Primality proof for n = 894613:

Take b = 2.

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

74551 is prime.
b^((n-1)/74551)-1 mod n = 4095, which is a unit, inverse 529340.

(74551) divides n-1.

(74551)^2 > n.

n is prime by Pocklington's theorem.