English

Some arithmetical problems that are obtained by analyzing proofs and infinite graphs

Number Theory 2020-02-11 v1 Combinatorics Logic

Abstract

Applying Baaz's Generalization Method and a new technique to, respectively, proofs and denumerable simple graphs, diverse arithmetical patterns are observed. In particular, sufficient conditions for a number to be a divisor of a Fermat number are provided. The accuracy of such observations is asked in several subsequent problems.

Keywords

Cite

@article{arxiv.2002.03075,
  title  = {Some arithmetical problems that are obtained by analyzing proofs and infinite graphs},
  author = {Lorenzo Sauras-Altuzarra},
  journal= {arXiv preprint arXiv:2002.03075},
  year   = {2020}
}

Comments

19 pages, 11 figures

R2 v1 2026-06-23T13:34:56.904Z