Primality proof for n = 82913:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2591.html>2591 is prime.</a>
<br>b^((n-1)/2591)-1 mod n = 73895, which is a unit, inverse 70933.
<p>(2591) divides n-1.
<p>(2591)^2 > n.
<p>n is prime by Pocklington's theorem.