Primality proof for n = 456597257999:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=761069.html>761069 is prime.</a>
<br>b^((n-1)/761069)-1 mod n = 349453078187, which is a unit, inverse 297357385056.
<p>(761069) divides n-1.
<p>(761069)^2 > n.
<p>n is prime by Pocklington's theorem.