English

Did have Fermat the solution? An elementary proof of his Last Theorem

General Mathematics 2020-07-22 v2

Abstract

We present an elementary proof of Fermat's Last Theorem. No ancillary results are used, not even the most basic ones. The proof directly leads to a contradiction of the Fermat equation in the set of integers.

Keywords

Cite

@article{arxiv.2006.01599,
  title  = {Did have Fermat the solution? An elementary proof of his Last Theorem},
  author = {Miguel Antonio Marano Calzolari},
  journal= {arXiv preprint arXiv:2006.01599},
  year   = {2020}
}

Comments

10 pages, in Spanish. The paper contains some wrong identities. This invalidates its conclusion. More precisely, in page 3, after equation (6), it is affirmed that bk-3=j_{1d} and ak-2=x. What it actually holds is that bk-3 is a multiple of j_[1d} and ak-2 a multiple of x. This kind of incorrect arguments is repeated afterwards, in page 7 and at the beginning of page 8, and finally in page 10, after equation (20). In this way the statement is not correctly proved, and I apologise for this situation. So I request the article be removed from the arXiv, or if this is not possible, at least that the present comment of the author be displayed to the potential readers. Finally I say that I have tried to, but unfortunately I cannot fix the errors. Thank you