Primality proof for n = 41293497469967:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2949535533569.html>2949535533569 is prime.</a>
<br>b^((n-1)/2949535533569)-1 mod n = 16383, which is a unit, inverse 24940435662902.
<p>(2949535533569) divides n-1.
<p>(2949535533569)^2 > n.
<p>n is prime by Pocklington's theorem.