Primality proof for n = 21384809:
Take b = 2.
b^(n-1) mod n = 1.
11987 is prime. b^((n-1)/11987)-1 mod n = 19585778, which is a unit, inverse 9302612.
(11987) divides n-1.
(11987)^2 > n.
n is prime by Pocklington's theorem.