Primality proof for n = 117223:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2791.html>2791 is prime.</a>
<br>b^((n-1)/2791)-1 mod n = 29390, which is a unit, inverse 110614.
<p>(2791) divides n-1.
<p>(2791)^2 > n.
<p>n is prime by Pocklington's theorem.