Primality proof for n = 21464983:
Take b = 2.
b^(n-1) mod n = 1.
911 is prime.
b^((n-1)/911)-1 mod n = 16404668, which is a unit, inverse 18755503.
17 is prime.
b^((n-1)/17)-1 mod n = 12284545, which is a unit, inverse 15400954.
(17 * 911) divides n-1.
(17 * 911)^2 > n.
n is prime by Pocklington's theorem.