Primality proof for n = 66417393611:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3677.html>3677 is prime.</a>
<br>b^((n-1)/3677)-1 mod n = 66219752669, which is a unit, inverse 49445954925.
<p><a href=197.html>197 is prime.</a>
<br>b^((n-1)/197)-1 mod n = 34676449720, which is a unit, inverse 51215684949.
<p>(197 * 3677) divides n-1.
<p>(197 * 3677)^2 > n.
<p>n is prime by Pocklington's theorem.