Primality proof for n = 4110968708131511976589681529:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=387610748845807843.html>387610748845807843 is prime.</a>
<br>b^((n-1)/387610748845807843)-1 mod n = 286026604207665834867179671, which is a unit, inverse 469134373111518553172126274.
<p>(387610748845807843) divides n-1.
<p>(387610748845807843)^2 > n.
<p>n is prime by Pocklington's theorem.