# Every positive integer is a sum of three palindromes

- Published in 2016
- Added on

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

## Links

## Other information

- key
- Everypositiveintegerisasumofthreepalindromes
- type
- article
- date_added
- 2017-06-21
- date_published
- 2016-09-30

### 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 = {2016-09-30}, 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 }