Primality proof for n = 560513308871:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=411679.html>411679 is prime.</a>
<br>b^((n-1)/411679)-1 mod n = 446426860155, which is a unit, inverse 21549872957.
<p><a href=8009.html>8009 is prime.</a>
<br>b^((n-1)/8009)-1 mod n = 515895509753, which is a unit, inverse 317410781157.
<p>(8009 * 411679) divides n-1.
<p>(8009 * 411679)^2 > n.
<p>n is prime by Pocklington's theorem.