Primality proof for n = 8089:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=337.html>337 is prime.</a>
<br>b^((n-1)/337)-1 mod n = 629, which is a unit, inverse 2482.
<p>(337) divides n-1.
<p>(337)^2 > n.
<p>n is prime by Pocklington's theorem.