Primality proof for n = 816170061203776523993317:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=11716083324473119.html>11716083324473119 is prime.</a>
<br>b^((n-1)/11716083324473119)-1 mod n = 758727006810694901801173, which is a unit, inverse 270721868540983870126083.
<p>(11716083324473119) divides n-1.
<p>(11716083324473119)^2 > n.
<p>n is prime by Pocklington's theorem.