Primality proof for n = 82373:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=20593.html>20593 is prime.</a>
<br>b^((n-1)/20593)-1 mod n = 15, which is a unit, inverse 71390.
<p>(20593) divides n-1.
<p>(20593)^2 > n.
<p>n is prime by Pocklington's theorem.