Primality proof for n = 28181:

Take b = 2.

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

1409 is prime.
b^((n-1)/1409)-1 mod n = 5878, which is a unit, inverse 16200.

(1409) divides n-1.

(1409)^2 > n.

n is prime by Pocklington's theorem.