Primality proof for n = 11447:
<p>Take b = 3.
<p>b^(n-1) mod n = 1.
<p><a href=97.html>97 is prime.</a>
<br>b^((n-1)/97)-1 mod n = 7360, which is a unit, inverse 6061.
<p><a href=59.html>59 is prime.</a>
<br>b^((n-1)/59)-1 mod n = 422, which is a unit, inverse 5615.
<p>(59 * 97) divides n-1.
<p>(59 * 97)^2 > n.
<p>n is prime by Pocklington's theorem.