Primality proof for n = 22739:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=11369.html>11369 is prime.</a>
<br>b^((n-1)/11369)-1 mod n = 3, which is a unit, inverse 7580.
<p>(11369) divides n-1.
<p>(11369)^2 > n.
<p>n is prime by Pocklington's theorem.