Primality proof for n = 44573927:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=220663.html>220663 is prime.</a>
<br>b^((n-1)/220663)-1 mod n = 8909818, which is a unit, inverse 16137567.
<p>(220663) divides n-1.
<p>(220663)^2 > n.
<p>n is prime by Pocklington's theorem.