Primality proof for n = 39504432196131312905021:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=18141104598658771.html>18141104598658771 is prime.</a>
<br>b^((n-1)/18141104598658771)-1 mod n = 33455913209282560998740, which is a unit, inverse 38874397261369135798588.
<p>(18141104598658771) divides n-1.
<p>(18141104598658771)^2 > n.
<p>n is prime by Pocklington's theorem.