Primality proof for n = 34123:
<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 = 30028, which is a unit, inverse 5683.
<p><a href=11.html>11 is prime.</a>
<br>b^((n-1)/11)-1 mod n = 30210, which is a unit, inverse 8328.
<p>(11^2 * 47) divides n-1.
<p>(11^2 * 47)^2 > n.
<p>n is prime by Pocklington's theorem.