Primality proof for n = 79879924901292653287162734017:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=28591973599411.html>28591973599411 is prime.</a>
<br>b^((n-1)/28591973599411)-1 mod n = 25873039023136504529196578628, which is a unit, inverse 73292942410362244624544064009.
<p><a href=3086977169.html>3086977169 is prime.</a>
<br>b^((n-1)/3086977169)-1 mod n = 9655117697654085619936833249, which is a unit, inverse 15463752343466024101614486223.
<p>(3086977169 * 28591973599411) divides n-1.
<p>(3086977169 * 28591973599411)^2 > n.
<p>n is prime by Pocklington's theorem.