Laubenbacher, R. and Pengelley, D. (2010) Voici ce que j’ai trouvé: Sophie Germain’s Grand Plan to Prove Fermat’s Last Theorem. Historia Mathematica, 37, 641-692.

has been cited by the following article:

• TITLE: On Fermat Last Theorem: The New Efficient Expression of a Hypothetical Solution as a Function of Its Fermat Divisors

  AUTHORS: Prosper Kouadio Kimou

  KEYWORDS: Fermat’s Last Theorem, Fermat Divisors, Barlow’s Relations, Greatest Common Divisor

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.13 No.1, February 15, 2023

  ABSTRACT: Denote by a non-trivial primitive solution of Fermat’s equation (p prime).We introduce, for the first time, what we call Fermat principal divisors of the triple defined as follows. , and . We show that it is possible to express a,b and c as function of the Fermat principal divisors. Denote by the set of possible non-trivial solutions of the Diophantine equation . And, let (p prime). We prove that, in the first case of Fermat’s theorem, one has . In the second case of Fermat’s theorem, we show that , ,. Furthermore, we have implemented a python program to calculate the Fermat divisors of Pythagoreans triples. The results of this program, confirm the model used. We now have an effective tool to directly process Diophantine equations and that of Fermat.