Primality proof for n = 30011:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3001.html>3001 is prime.</a>
<br>b^((n-1)/3001)-1 mod n = 1023, which is a unit, inverse 16663.
<p>(3001) divides n-1.
<p>(3001)^2 > n.
<p>n is prime by Pocklington's theorem.