Primality proof for n = 113809:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2371.html>2371 is prime.</a>
<br>b^((n-1)/2371)-1 mod n = 53380, which is a unit, inverse 66842.
<p>(2371) divides n-1.
<p>(2371)^2 > n.
<p>n is prime by Pocklington's theorem.