Primality proof for n = 12527:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=6263.html>6263 is prime.</a>
<br>b^((n-1)/6263)-1 mod n = 3, which is a unit, inverse 4176.
<p>(6263) divides n-1.
<p>(6263)^2 > n.
<p>n is prime by Pocklington's theorem.