Primality proof for n = 114749:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=28687.html>28687 is prime.</a>
<br>b^((n-1)/28687)-1 mod n = 15, which is a unit, inverse 7650.
<p>(28687) divides n-1.
<p>(28687)^2 > n.
<p>n is prime by Pocklington's theorem.