Primality proof for n = 25605588031:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=8963.html>8963 is prime.</a>
<br>b^((n-1)/8963)-1 mod n = 17052410024, which is a unit, inverse 14598673255.
<p><a href=787.html>787 is prime.</a>
<br>b^((n-1)/787)-1 mod n = 19491561310, which is a unit, inverse 12756704081.
<p>(787 * 8963) divides n-1.
<p>(787 * 8963)^2 > n.
<p>n is prime by Pocklington's theorem.