Primality proof for n = 145709:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=499.html>499 is prime.</a>
<br>b^((n-1)/499)-1 mod n = 8478, which is a unit, inverse 83854.
<p>(499) divides n-1.
<p>(499)^2 > n.
<p>n is prime by Pocklington's theorem.