Primality proof for n = 565665984379:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=603103.html>603103 is prime.</a>
<br>b^((n-1)/603103)-1 mod n = 399209210778, which is a unit, inverse 344602695327.
<p><a href=1579.html>1579 is prime.</a>
<br>b^((n-1)/1579)-1 mod n = 28827542827, which is a unit, inverse 191830096649.
<p>(1579 * 603103) divides n-1.
<p>(1579 * 603103)^2 > n.
<p>n is prime by Pocklington's theorem.