Primality proof for n = 39286345187279:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=904340159.html>904340159 is prime.</a>
<br>b^((n-1)/904340159)-1 mod n = 7887706830485, which is a unit, inverse 21596437816407.
<p>(904340159) divides n-1.
<p>(904340159)^2 > n.
<p>n is prime by Pocklington's theorem.