Primality proof for n = 3938699322577:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=222374623.html>222374623 is prime.</a>
<br>b^((n-1)/222374623)-1 mod n = 1505362245662, which is a unit, inverse 3427403832404.
<p>(222374623) divides n-1.
<p>(222374623)^2 > n.
<p>n is prime by Pocklington's theorem.