Primality proof for n = 3560584187609609:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3938699322577.html>3938699322577 is prime.</a>
<br>b^((n-1)/3938699322577)-1 mod n = 3027836486820334, which is a unit, inverse 2341970946339907.
<p>(3938699322577) divides n-1.
<p>(3938699322577)^2 > n.
<p>n is prime by Pocklington's theorem.