Primality proof for n = 134384519429:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=40043063.html>40043063 is prime.</a>
<br>b^((n-1)/40043063)-1 mod n = 106324638340, which is a unit, inverse 83733766020.
<p>(40043063) divides n-1.
<p>(40043063)^2 > n.
<p>n is prime by Pocklington's theorem.