Primality proof for n = 861659:

Take b = 2.

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

61547 is prime.
b^((n-1)/61547)-1 mod n = 16383, which is a unit, inverse 450684.

(61547) divides n-1.

(61547)^2 > n.

n is prime by Pocklington's theorem.