Primality proof for n = 211191412011185201:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=347582969077.html>347582969077 is prime.</a>
<br>b^((n-1)/347582969077)-1 mod n = 185527529140536649, which is a unit, inverse 131012102865490614.
<p>(347582969077) divides n-1.
<p>(347582969077)^2 > n.
<p>n is prime by Pocklington's theorem.