Primality proof for n = 38818558648101949187:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=85984049513.html>85984049513 is prime.</a>
<br>b^((n-1)/85984049513)-1 mod n = 23847627279141616323, which is a unit, inverse 12962008146555259535.
<p>(85984049513) divides n-1.
<p>(85984049513)^2 > n.
<p>n is prime by Pocklington's theorem.