Primality proof for n = 4244885885521:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=34871.html>34871 is prime.</a>
<br>b^((n-1)/34871)-1 mod n = 1757770627752, which is a unit, inverse 1463581284075.
<p><a href=97.html>97 is prime.</a>
<br>b^((n-1)/97)-1 mod n = 3297520073297, which is a unit, inverse 3374400983609.
<p>(97 * 34871) divides n-1.
<p>(97 * 34871)^2 > n.
<p>n is prime by Pocklington's theorem.