Primality proof for n = 858467:

Take b = 2.

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

3607 is prime.
b^((n-1)/3607)-1 mod n = 514513, which is a unit, inverse 359309.

(3607) divides n-1.

(3607)^2 > n.

n is prime by Pocklington's theorem.