English

Further verification and empirical evidence for the Erd\H{o}s-Straus conjecture

Number Theory 2025-09-03 v1

Abstract

We provide empirical evidence for the Erd\H{o}s-Straus conjecture by improving computational bounds to 101810^{18} and by evaluating the solution-counting function f(p)f(p) for this conjecture.

Keywords

Cite

@article{arxiv.2509.00128,
  title  = {Further verification and empirical evidence for the Erd\H{o}s-Straus conjecture},
  author = {Spiridon Mihnea and Dumitru C. Bogdan},
  journal= {arXiv preprint arXiv:2509.00128},
  year   = {2025}
}