Primality proof for n = 8620289:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=223.html>223 is prime.</a>
<br>b^((n-1)/223)-1 mod n = 4858170, which is a unit, inverse 4776110.
<p><a href=151.html>151 is prime.</a>
<br>b^((n-1)/151)-1 mod n = 3461388, which is a unit, inverse 5838524.
<p>(151 * 223) divides n-1.
<p>(151 * 223)^2 > n.
<p>n is prime by Pocklington's theorem.