Primality proof for n = 4513:
<p>Take b = 5.
<p>b^(n-1) mod n = 1.
<p><a href=47.html>47 is prime.</a>
<br>b^((n-1)/47)-1 mod n = 553, which is a unit, inverse 3803.
<p><a href=2.html>2 is prime.</a>
<br>b^((n-1)/2)-1 mod n = 4511, which is a unit, inverse 2256.
<p>(2^5 * 47) divides n-1.
<p>(2^5 * 47)^2 > n.
<p>n is prime by Pocklington's theorem.