Primality proof for n = 34217:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=47.html>47 is prime.</a>
<br>b^((n-1)/47)-1 mod n = 3451, which is a unit, inverse 33166.
<p><a href=13.html>13 is prime.</a>
<br>b^((n-1)/13)-1 mod n = 24206, which is a unit, inverse 5144.
<p>(13 * 47) divides n-1.
<p>(13 * 47)^2 > n.
<p>n is prime by Pocklington's theorem.