Primality proof for n = 10882031:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=12227.html>12227 is prime.</a>
<br>b^((n-1)/12227)-1 mod n = 1661812, which is a unit, inverse 5160873.
<p>(12227) divides n-1.
<p>(12227)^2 > n.
<p>n is prime by Pocklington's theorem.