Primality proof for n = 818488084109:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1269391.html>1269391 is prime.</a>
<br>b^((n-1)/1269391)-1 mod n = 521784089295, which is a unit, inverse 242313004962.
<p>(1269391) divides n-1.
<p>(1269391)^2 > n.
<p>n is prime by Pocklington's theorem.