Primality proof for n = 523:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=29.html>29 is prime.</a>
<br>b^((n-1)/29)-1 mod n = 120, which is a unit, inverse 231.
<p>(29) divides n-1.
<p>(29)^2 > n.
<p>n is prime by Pocklington's theorem.