Primality proof for n = 11711184643015782903697616449:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=352576608953991537322303.html>352576608953991537322303 is prime.</a>
<br>b^((n-1)/352576608953991537322303)-1 mod n = 313246917351246334821809670, which is a unit, inverse 11302977211897168811983564210.
<p>(352576608953991537322303) divides n-1.
<p>(352576608953991537322303)^2 > n.
<p>n is prime by Pocklington's theorem.