Primality proof for n = 245621:

Take b = 2.

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

12281 is prime.
b^((n-1)/12281)-1 mod n = 66091, which is a unit, inverse 70857.

(12281) divides n-1.

(12281)^2 > n.

n is prime by Pocklington's theorem.