Primality proof for n = 497993:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=5659.html>5659 is prime.</a>
<br>b^((n-1)/5659)-1 mod n = 12151, which is a unit, inverse 450206.
<p>(5659) divides n-1.
<p>(5659)^2 > n.
<p>n is prime by Pocklington's theorem.