English

Giuga Numbers and the arithmetic derivative

Number Theory 2011-03-14 v1

Abstract

We characterize Giuga Numbers as solutions to the equation n=an+1n'=an+1, with aNa \in \mathbb{N} and nn' being the arithmetic derivative. Although this fact does not refute Lava's conjecture, it brings doubts about its veracity.

Cite

@article{arxiv.1103.2298,
  title  = {Giuga Numbers and the arithmetic derivative},
  author = {José María Grau and Antonio M. Oller-Marcén},
  journal= {arXiv preprint arXiv:1103.2298},
  year   = {2011}
}
R2 v1 2026-06-21T17:38:23.942Z