Primality proof for n = 224563:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2879.html>2879 is prime.</a>
<br>b^((n-1)/2879)-1 mod n = 197262, which is a unit, inverse 115255.
<p>(2879) divides n-1.
<p>(2879)^2 > n.
<p>n is prime by Pocklington's theorem.