Giuga Numbers and the arithmetic derivative

• Published in 2011
• Added on 2013-11-15

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.

Links

• http://arxiv.org/abs/1103.2298
• http://arxiv.org/pdf/1103.2298v1

Other information

BibTeX entry

@article{Grau2011,
	key = {Grau2011},
	type = {article},
	title = {Giuga Numbers and the arithmetic derivative},
	author = {Grau, Jos{\'{e}} Mar{\'{i}}a and Oller-Marc{\'{e}}n, Antonio M.},
	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.},
	comment = {},
	date_added = {2013-11-15},
	date_published = {2011-03-01},
	urls = {http://arxiv.org/abs/1103.2298,http://arxiv.org/pdf/1103.2298v1},
	collections = {Unusual arithmetic,Integerology},
	month = {mar},
	url = {http://arxiv.org/abs/1103.2298 http://arxiv.org/pdf/1103.2298v1},
	year = 2011,
	archivePrefix = {arXiv},
	eprint = {1103.2298},
	primaryClass = {math.NT},
	urldate = {2013-11-15}
}