Primality proof for n = 1176529195798022443468570606581645973:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3625906222327272823.html>3625906222327272823 is prime.</a>
<br>b^((n-1)/3625906222327272823)-1 mod n = 479344850446506592468932476099613208, which is a unit, inverse 180917623039453839019773823233037933.
<p>(3625906222327272823) divides n-1.
<p>(3625906222327272823)^2 > n.
<p>n is prime by Pocklington's theorem.