Primality proof for n = 1840314809:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=230039351.html>230039351 is prime.</a>
<br>b^((n-1)/230039351)-1 mod n = 255, which is a unit, inverse 440232170.
<p>(230039351) divides n-1.
<p>(230039351)^2 > n.
<p>n is prime by Pocklington's theorem.