Primality proof for n = 3623:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1811.html>1811 is prime.</a>
<br>b^((n-1)/1811)-1 mod n = 3, which is a unit, inverse 1208.
<p>(1811) divides n-1.
<p>(1811)^2 > n.
<p>n is prime by Pocklington's theorem.