Primality proof for n = 1117:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=31.html>31 is prime.</a>
<br>b^((n-1)/31)-1 mod n = 330, which is a unit, inverse 1073.
<p><a href=3.html>3 is prime.</a>
<br>b^((n-1)/3)-1 mod n = 995, which is a unit, inverse 412.
<p>(3^2 * 31) divides n-1.
<p>(3^2 * 31)^2 > n.
<p>n is prime by Pocklington's theorem.