Primality proof for n = 8111:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=811.html>811 is prime.</a>
<br>b^((n-1)/811)-1 mod n = 1023, which is a unit, inverse 8000.
<p>(811) divides n-1.
<p>(811)^2 > n.
<p>n is prime by Pocklington's theorem.