Primality proof for n = 20249:

Take b = 2.

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

2531 is prime.
b^((n-1)/2531)-1 mod n = 255, which is a unit, inverse 6035.

(2531) divides n-1.

(2531)^2 > n.

n is prime by Pocklington's theorem.