Primality proof for n = 34110701:
<p>Take b = 3.
<p>b^(n-1) mod n = 1.
<p><a href=1381.html>1381 is prime.</a>
<br>b^((n-1)/1381)-1 mod n = 4118970, which is a unit, inverse 22022713.
<p><a href=19.html>19 is prime.</a>
<br>b^((n-1)/19)-1 mod n = 31770329, which is a unit, inverse 18865889.
<p>(19 * 1381) divides n-1.
<p>(19 * 1381)^2 > n.
<p>n is prime by Pocklington's theorem.