# Every positive integer is a sum of three palindromes

• Published in 2016
In the collection
For integer $g\ge 5$, we prove that any positive integer can be written as a sum of three palindromes in base $g$.

### BibTeX entry

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