Primality proof for n = 14561:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=13.html>13 is prime.</a>
<br>b^((n-1)/13)-1 mod n = 8421, which is a unit, inverse 1947.
<p><a href=7.html>7 is prime.</a>
<br>b^((n-1)/7)-1 mod n = 10155, which is a unit, inverse 13943.
<p><a href=5.html>5 is prime.</a>
<br>b^((n-1)/5)-1 mod n = 5990, which is a unit, inverse 4203.
<p>(5 * 7 * 13) divides n-1.
<p>(5 * 7 * 13)^2 > n.
<p>n is prime by Pocklington's theorem.