Primality proof for n = 41734133317:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4975457.html>4975457 is prime.</a>
<br>b^((n-1)/4975457)-1 mod n = 31129430878, which is a unit, inverse 36197206490.
<p>(4975457) divides n-1.
<p>(4975457)^2 > n.
<p>n is prime by Pocklington's theorem.