Primality proof for n = 20521:

Take b = 2.

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

19 is prime.
b^((n-1)/19)-1 mod n = 11759, which is a unit, inverse 9230.

5 is prime.
b^((n-1)/5)-1 mod n = 7807, which is a unit, inverse 15971.

3 is prime.
b^((n-1)/3)-1 mod n = 515, which is a unit, inverse 13508.

(3^3 * 5 * 19) divides n-1.

(3^3 * 5 * 19)^2 > n.

n is prime by Pocklington's theorem.