Primality proof for n = 78283:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4349.html>4349 is prime.</a>
<br>b^((n-1)/4349)-1 mod n = 27294, which is a unit, inverse 45308.
<p>(4349) divides n-1.
<p>(4349)^2 > n.
<p>n is prime by Pocklington's theorem.