Primality proof for n = 4868010057124911294296551654477037:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=131342845410725759.html>131342845410725759 is prime.</a>
<br>b^((n-1)/131342845410725759)-1 mod n = 708004873331607143739514225224759, which is a unit, inverse 2864366210929895681873949011946717.
<p>(131342845410725759) divides n-1.
<p>(131342845410725759)^2 > n.
<p>n is prime by Pocklington's theorem.