Primality proof for n = 44959:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=127.html>127 is prime.</a>
<br>b^((n-1)/127)-1 mod n = 27225, which is a unit, inverse 29000.
<p><a href=59.html>59 is prime.</a>
<br>b^((n-1)/59)-1 mod n = 30728, which is a unit, inverse 10337.
<p>(59 * 127) divides n-1.
<p>(59 * 127)^2 > n.
<p>n is prime by Pocklington's theorem.