Primality proof for n = 10023031:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=6551.html>6551 is prime.</a>
<br>b^((n-1)/6551)-1 mod n = 3171405, which is a unit, inverse 7074623.
<p>(6551) divides n-1.
<p>(6551)^2 > n.
<p>n is prime by Pocklington's theorem.