Primality proof for n = 27818066278401359:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=999964351.html>999964351 is prime.</a>
<br>b^((n-1)/999964351)-1 mod n = 7381063508716099, which is a unit, inverse 21925149953329270.
<p>(999964351) divides n-1.
<p>(999964351)^2 > n.
<p>n is prime by Pocklington's theorem.