Primality proof for n = 78713:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=9839.html>9839 is prime.</a>
<br>b^((n-1)/9839)-1 mod n = 255, which is a unit, inverse 8643.
<p>(9839) divides n-1.
<p>(9839)^2 > n.
<p>n is prime by Pocklington's theorem.