# Giuga Numbers and the arithmetic derivative

• Published in 2011
In the collection
We characterize Giuga Numbers as solutions to the equation $n'=an+1$, with $a \in \mathbb{N}$ and $n'$ being the arithmetic derivative. Although this fact does not refute Lava's conjecture, it brings doubts about its veracity.

### BibTeX entry

@article{Grau2011,
author = {Grau, Jos{\'{e}} Mar{\'{i}}a and Oller-Marc{\'{e}}n, Antonio M.},
month = {mar},
title = {Giuga Numbers and the arithmetic derivative},
url = {http://arxiv.org/abs/1103.2298 http://arxiv.org/pdf/1103.2298v1},
year = 2011,
archivePrefix = {arXiv},
eprint = {1103.2298},
primaryClass = {math.NT},
abstract = {We characterize Giuga Numbers as solutions to the equation {\$}n'=an+1{\$}, with {\$}a \in \mathbb{\{}N{\}}{\$} and {\$}n'{\$} being the arithmetic derivative. Although this fact
does not refute Lava's conjecture, it brings doubts about its veracity.},
urldate = {2013-11-15},
collections = {Unusual arithmetic}
}