English

On the Erdos-Straus conjecture

Number Theory 2010-01-08 v1

Abstract

Paul Erdos conjectured that for every n in N, n>1, there exist a, b, c natural numbers, not necessarily distinct, so that 4/n=1/a+1/b+1/c (see \cite{rg}). In this paper we prove an extension of Mordell's theorem and formulate a conjecture which is stronger than Erdos' conjecture.

Keywords

Cite

@article{arxiv.1001.1100,
  title  = {On the Erdos-Straus conjecture},
  author = {Eugen J. Ionascu and Andrew Wilson},
  journal= {arXiv preprint arXiv:1001.1100},
  year   = {2010}
}

Comments

9 pages, no figures

R2 v1 2026-06-21T14:32:00.307Z