Primality proof for n = 1841796684943080163:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=9538204373.html>9538204373 is prime.</a>
<br>b^((n-1)/9538204373)-1 mod n = 1589703449597413859, which is a unit, inverse 979424562444996027.
<p>(9538204373) divides n-1.
<p>(9538204373)^2 > n.
<p>n is prime by Pocklington's theorem.