Primality proof for n = 14753097342555346196473:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=991864807.html>991864807 is prime.</a>
<br>b^((n-1)/991864807)-1 mod n = 5346346802020683061705, which is a unit, inverse 10619949450083166832412.
<p><a href=5585233.html>5585233 is prime.</a>
<br>b^((n-1)/5585233)-1 mod n = 10940166980634947520051, which is a unit, inverse 9180808815815164862244.
<p>(5585233 * 991864807) divides n-1.
<p>(5585233 * 991864807)^2 > n.
<p>n is prime by Pocklington's theorem.