Primality proof for n = 44925942675193:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=532247449.html>532247449 is prime.</a>
<br>b^((n-1)/532247449)-1 mod n = 9006975509752, which is a unit, inverse 29404327213793.
<p>(532247449) divides n-1.
<p>(532247449)^2 > n.
<p>n is prime by Pocklington's theorem.