English

A new characterization of prime Fermat's numbers

Number Theory 2021-04-13 v1

Abstract

We give a new sufficient condition which allows to test primality of Fermat's numbers. This characterization uses uniquely values at most equal to tested Fermat number. The robustness of this result is due to a strict use of elementary arithmetic technical tools and it will be susceptible to open gates for revolutionary statement that all Fermat's numbers are all decomposable.

Keywords

Cite

@article{arxiv.2104.04875,
  title  = {A new characterization of prime Fermat's numbers},
  author = {Ahmed Bouzalmat and Ahmed Sani},
  journal= {arXiv preprint arXiv:2104.04875},
  year   = {2021}
}