In migrating my former .com site to this, my new .ie site, I have given up on my previous computations page. In the meantime, while I reorganise my new site, my earlier computations page was last archived in April 2026 by the WaybackMachine here.

My original Computations page was the following reference:

[6] J. B. Cosgrave, http://www.johnbcosgrave.com/computations.php

the sixth reference in our paper A ROLE FOR GENERALIZED FERMAT NUMBERS (paper #10 here).

That [6] reference contained a vast amount of material, and it is going to take me some considerable time to reconstruct those computations here at this new page.

This is my first attempt at uploading just one of them, a Maple worksheet (converted to pdf format) exhibiting all solutions of our paper's (2.5) congruence for just the singleton prime p = 7 (the very first 'Jacobi' prime, a new class of primes named by us in that paper #10). They are here.

In fact what is exhibited in the just seen pdf download is the pdf conversion of a Maple worksheet named "EXTENDED Example 1. p = 7 for (2.5).mws", where my use of 'EXTENDED' means this:

"in our paper - purely because of space constraints - we mentioned only solutions up to s = 6, while here in this Maple worksheet we extend to s = 11",

and I noted that in order to further extend the list of solutions to just the next level - s = 12 would require knowing the complete factorization of the 866-decimal digit generalized Fermat number 7⁽²¹⁰⁾ + 1, that '10' being '12 - 2'.