Primality proof for n = 34429:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=151.html>151 is prime.</a>
<br>b^((n-1)/151)-1 mod n = 6349, which is a unit, inverse 19408.
<p><a href=19.html>19 is prime.</a>
<br>b^((n-1)/19)-1 mod n = 27660, which is a unit, inverse 17863.
<p>(19 * 151) divides n-1.
<p>(19 * 151)^2 > n.
<p>n is prime by Pocklington's theorem.