Primality proof for n = 27157467587:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=361223.html>361223 is prime.</a>
<br>b^((n-1)/361223)-1 mod n = 3027890477, which is a unit, inverse 7534683608.
<p>(361223) divides n-1.
<p>(361223)^2 > n.
<p>n is prime by Pocklington's theorem.