Primality proof for n = 29123:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=14561.html>14561 is prime.</a>
<br>b^((n-1)/14561)-1 mod n = 3, which is a unit, inverse 9708.
<p>(14561) divides n-1.
<p>(14561)^2 > n.
<p>n is prime by Pocklington's theorem.