English

Yet another Proof of an old Hat

History and Overview 2021-11-05 v1 Number Theory

Abstract

Every odd prime number p can be written in exactly (p + 1)/2 ways as a sum ab + cd with min(a, b) > max(c, d) of two ordered products. This gives a new proof Fermat's Theorem expressing primes of the form 1 + 4N as sums of two squares 1 .

Keywords

Cite

@article{arxiv.2111.02788,
  title  = {Yet another Proof of an old Hat},
  author = {Roland Bacher},
  journal= {arXiv preprint arXiv:2111.02788},
  year   = {2021}
}
R2 v1 2026-06-24T07:25:56.495Z