Primality proof for n = 499433731:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1439.html>1439 is prime.</a>
<br>b^((n-1)/1439)-1 mod n = 401513288, which is a unit, inverse 116350268.
<p><a href=503.html>503 is prime.</a>
<br>b^((n-1)/503)-1 mod n = 407725782, which is a unit, inverse 199125093.
<p>(503 * 1439) divides n-1.
<p>(503 * 1439)^2 > n.
<p>n is prime by Pocklington's theorem.