Primality proof for n = 596242599987116128415063:
<p>Take b = 3.
<p>b^(n-1) mod n = 1.
<p><a href=36131535570665139281.html>36131535570665139281 is prime.</a>
<br>b^((n-1)/36131535570665139281)-1 mod n = 246463439989986452791527, which is a unit, inverse 465801323734362530676345.
<p>(36131535570665139281) divides n-1.
<p>(36131535570665139281)^2 > n.
<p>n is prime by Pocklington's theorem.