Primality proof for n = 8097347:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4048673.html>4048673 is prime.</a>
<br>b^((n-1)/4048673)-1 mod n = 3, which is a unit, inverse 2699116.
<p>(4048673) divides n-1.
<p>(4048673)^2 > n.
<p>n is prime by Pocklington's theorem.