English

On the distance between perfect numbers

Number Theory 2012-10-02 v1

Abstract

It is shown that there exist infinitely many triangular numbers (congruent to 3 mod 12) which cannot be the distance between two perfect numbers.

Keywords

Cite

@article{arxiv.1210.0450,
  title  = {On the distance between perfect numbers},
  author = {Philippe Ellia},
  journal= {arXiv preprint arXiv:1210.0450},
  year   = {2012}
}

Comments

Accepted on J. Comb. Number Theory

R2 v1 2026-06-21T22:14:00.487Z