Primality proof for n = 442963:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=631.html>631 is prime.</a>
<br>b^((n-1)/631)-1 mod n = 143097, which is a unit, inverse 135591.
<p><a href=13.html>13 is prime.</a>
<br>b^((n-1)/13)-1 mod n = 10372, which is a unit, inverse 247405.
<p>(13 * 631) divides n-1.
<p>(13 * 631)^2 > n.
<p>n is prime by Pocklington's theorem.