Primality proof for n = 4139:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2069.html>2069 is prime.</a>
<br>b^((n-1)/2069)-1 mod n = 3, which is a unit, inverse 1380.
<p>(2069) divides n-1.
<p>(2069)^2 > n.
<p>n is prime by Pocklington's theorem.