Primality proof for n = 46589:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=613.html>613 is prime.</a>
<br>b^((n-1)/613)-1 mod n = 10605, which is a unit, inverse 30251.
<p>(613) divides n-1.
<p>(613)^2 > n.
<p>n is prime by Pocklington's theorem.