Primality proof for n = 530597:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=389.html>389 is prime.</a>
<br>b^((n-1)/389)-1 mod n = 324642, which is a unit, inverse 269512.
<p><a href=31.html>31 is prime.</a>
<br>b^((n-1)/31)-1 mod n = 275236, which is a unit, inverse 103690.
<p>(31 * 389) divides n-1.
<p>(31 * 389)^2 > n.
<p>n is prime by Pocklington's theorem.