Primality proof for n = 7709728928696487373337941203521096567469726390276358190857709:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=19920925890426226515689032734344471.html>19920925890426226515689032734344471 is prime.</a>
<br>b^((n-1)/19920925890426226515689032734344471)-1 mod n = 7421485728027976821199880829036707845338863986538310611377925, which is a unit, inverse 686487807347447265258060002039026001717522219327303781451122.
<p>(19920925890426226515689032734344471) divides n-1.
<p>(19920925890426226515689032734344471)^2 > n.
<p>n is prime by Pocklington's theorem.