Primality proof for n = 201439234573737379:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=718558435081.html>718558435081 is prime.</a>
<br>b^((n-1)/718558435081)-1 mod n = 85787672788856600, which is a unit, inverse 182197309422129423.
<p>(718558435081) divides n-1.
<p>(718558435081)^2 > n.
<p>n is prime by Pocklington's theorem.