Primality proof for n = 11311:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=29.html>29 is prime.</a>
<br>b^((n-1)/29)-1 mod n = 7403, which is a unit, inverse 9120.
<p><a href=13.html>13 is prime.</a>
<br>b^((n-1)/13)-1 mod n = 3978, which is a unit, inverse 2215.
<p>(13 * 29) divides n-1.
<p>(13 * 29)^2 > n.
<p>n is prime by Pocklington's theorem.