Primality proof for n = 622491383:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=311245691.html>311245691 is prime.</a>
<br>b^((n-1)/311245691)-1 mod n = 3, which is a unit, inverse 207497128.
<p>(311245691) divides n-1.
<p>(311245691)^2 > n.
<p>n is prime by Pocklington's theorem.