# Every natural number is the sum of forty-nine palindromes

- Published in 2015
- Added on

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It is shown that the set of decimal palindromes is an additive basis for the natural numbers. Specifically, we prove that every natural number can be expressed as the sum of forty-nine (possibly zero) decimal palindromes.

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## Other information

- key
- Everynaturalnumberisthesumoffortyninepalindromes
- type
- article
- date_added
- 2016-12-17
- date_published
- 2015-07-24

### BibTeX entry

@article{Everynaturalnumberisthesumoffortyninepalindromes, key = {Everynaturalnumberisthesumoffortyninepalindromes}, type = {article}, title = {Every natural number is the sum of forty-nine palindromes}, author = {William D. Banks}, abstract = {It is shown that the set of decimal palindromes is an additive basis for the natural numbers. Specifically, we prove that every natural number can be expressed as the sum of forty-nine (possibly zero) decimal palindromes.}, comment = {}, date_added = {2016-12-17}, date_published = {2015-07-24}, urls = {http://arxiv.org/abs/1508.04721v1,http://arxiv.org/pdf/1508.04721v1}, collections = {Fun maths facts,Integerology}, url = {http://arxiv.org/abs/1508.04721v1 http://arxiv.org/pdf/1508.04721v1}, urldate = {2016-12-17}, archivePrefix = {arXiv}, eprint = {1508.04721}, primaryClass = {math.NT}, year = 2015 }