Primality proof for n = 114430077720284863765762092766225391679591020381:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=190455129210693390224369129.html>190455129210693390224369129 is prime.</a>
<br>b^((n-1)/190455129210693390224369129)-1 mod n = 107972223486331334895858625313247482326361346609, which is a unit, inverse 99463431654920979124871871238534949953466966039.
<p>(190455129210693390224369129) divides n-1.
<p>(190455129210693390224369129)^2 > n.
<p>n is prime by Pocklington's theorem.