Primality proof for n = 25583:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=12791.html>12791 is prime.</a>
<br>b^((n-1)/12791)-1 mod n = 3, which is a unit, inverse 8528.
<p>(12791) divides n-1.
<p>(12791)^2 > n.
<p>n is prime by Pocklington's theorem.