Primality proof for n = 79008864392262625810043:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=39504432196131312905021.html>39504432196131312905021 is prime.</a>
<br>b^((n-1)/39504432196131312905021)-1 mod n = 3, which is a unit, inverse 26336288130754208603348.
<p>(39504432196131312905021) divides n-1.
<p>(39504432196131312905021)^2 > n.
<p>n is prime by Pocklington's theorem.