Primality proof for n = 22639:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=11.html>11 is prime.</a>
<br>b^((n-1)/11)-1 mod n = 6243, which is a unit, inverse 16021.
<p><a href=7.html>7 is prime.</a>
<br>b^((n-1)/7)-1 mod n = 7793, which is a unit, inverse 17224.
<p>(7^3 * 11) divides n-1.
<p>(7^3 * 11)^2 > n.
<p>n is prime by Pocklington's theorem.