Primality proof for n = 16018527589:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2413883.html>2413883 is prime.</a>
<br>b^((n-1)/2413883)-1 mod n = 13992678812, which is a unit, inverse 11760072769.
<p>(2413883) divides n-1.
<p>(2413883)^2 > n.
<p>n is prime by Pocklington's theorem.