Primality proof for n = 1428624589419343516204097:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=13374631042347059581.html>13374631042347059581 is prime.</a>
<br>b^((n-1)/13374631042347059581)-1 mod n = 191867956472078795970091, which is a unit, inverse 193185674872353397584457.
<p>(13374631042347059581) divides n-1.
<p>(13374631042347059581)^2 > n.
<p>n is prime by Pocklington's theorem.