Primality proof for n = 342682509629:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=766223.html>766223 is prime.</a>
<br>b^((n-1)/766223)-1 mod n = 199420104102, which is a unit, inverse 155456165842.
<p>(766223) divides n-1.
<p>(766223)^2 > n.
<p>n is prime by Pocklington's theorem.