Primality proof for n = 4662689:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=145709.html>145709 is prime.</a>
<br>b^((n-1)/145709)-1 mod n = 630726, which is a unit, inverse 2706976.
<p>(145709) divides n-1.
<p>(145709)^2 > n.
<p>n is prime by Pocklington's theorem.