Primality proof for n = 11519:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=443.html>443 is prime.</a>
<br>b^((n-1)/443)-1 mod n = 10688, which is a unit, inverse 3105.
<p>(443) divides n-1.
<p>(443)^2 > n.
<p>n is prime by Pocklington's theorem.