Primality proof for n = 24217663:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=82373.html>82373 is prime.</a>
<br>b^((n-1)/82373)-1 mod n = 14875079, which is a unit, inverse 6374957.
<p>(82373) divides n-1.
<p>(82373)^2 > n.
<p>n is prime by Pocklington's theorem.