Primality proof for n = 9632869229268961407429404857:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2928325597569402103.html>2928325597569402103 is prime.</a>
<br>b^((n-1)/2928325597569402103)-1 mod n = 647171152616717894684110797, which is a unit, inverse 3061254004733520643856457686.
<p>(2928325597569402103) divides n-1.
<p>(2928325597569402103)^2 > n.
<p>n is prime by Pocklington's theorem.