Primality proof for n = 343559:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=9041.html>9041 is prime.</a>
<br>b^((n-1)/9041)-1 mod n = 130192, which is a unit, inverse 91814.
<p>(9041) divides n-1.
<p>(9041)^2 > n.
<p>n is prime by Pocklington's theorem.