Primality proof for n = 17659:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=109.html>109 is prime.</a>
<br>b^((n-1)/109)-1 mod n = 17445, which is a unit, inverse 2228.
<p><a href=2.html>2 is prime.</a>
<br>b^((n-1)/2)-1 mod n = 17657, which is a unit, inverse 8829.
<p>(2 * 109) divides n-1.
<p>(2 * 109)^2 > n.
<p>n is prime by Pocklington's theorem.