Primality proof for n = 42953:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=59.html>59 is prime.</a>
<br>b^((n-1)/59)-1 mod n = 17829, which is a unit, inverse 8885.
<p><a href=13.html>13 is prime.</a>
<br>b^((n-1)/13)-1 mod n = 22081, which is a unit, inverse 29488.
<p>(13 * 59) divides n-1.
<p>(13 * 59)^2 > n.
<p>n is prime by Pocklington's theorem.