Primality proof for n = 4681609:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2011.html>2011 is prime.</a>
<br>b^((n-1)/2011)-1 mod n = 3706699, which is a unit, inverse 1506556.
<p><a href=97.html>97 is prime.</a>
<br>b^((n-1)/97)-1 mod n = 4185920, which is a unit, inverse 914856.
<p>(97 * 2011) divides n-1.
<p>(97 * 2011)^2 > n.
<p>n is prime by Pocklington's theorem.