Primality proof for n = 38116200399806648171588966205760165042098583043261:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=209868713262055181656334059536197675522401.html>209868713262055181656334059536197675522401 is prime.</a>
<br>b^((n-1)/209868713262055181656334059536197675522401)-1 mod n = 13008256837837504966483997409530291437166825213693, which is a unit, inverse 11603348861056018800355564817618637950191603546405.
<p>(209868713262055181656334059536197675522401) divides n-1.
<p>(209868713262055181656334059536197675522401)^2 > n.
<p>n is prime by Pocklington's theorem.