Every positive integer is a sum of three palindromes

• Published in 2016
• Added on 2017-06-21

For integer $g\ge 5$, we prove that any positive integer can be written as a sum of three palindromes in base $g$.

Links

• http://arxiv.org/abs/1602.06208v2
• http://arxiv.org/pdf/1602.06208v2

Other information

BibTeX entry

@article{Everypositiveintegerisasumofthreepalindromes,
	key = {Everypositiveintegerisasumofthreepalindromes},
	type = {article},
	title = {Every positive integer is a sum of three palindromes},
	author = {Javier Cilleruelo and Florian Luca and Lewis Baxter},
	abstract = {For integer {\$}g\ge 5{\$}, we prove that any positive integer can be written as a
sum of three palindromes in base {\$}g{\$}.},
	comment = {},
	date_added = {2017-06-21},
	date_published = {2016-12-07},
	urls = {http://arxiv.org/abs/1602.06208v2,http://arxiv.org/pdf/1602.06208v2},
	collections = {Easily explained,Fun maths facts},
	url = {http://arxiv.org/abs/1602.06208v2 http://arxiv.org/pdf/1602.06208v2},
	urldate = {2017-06-21},
	archivePrefix = {arXiv},
	eprint = {1602.06208},
	primaryClass = {math.NT},
	year = 2016
}