# 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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### BibTeX entry

@article{Everynaturalnumberisthesumoffortyninepalindromes, title = {Every natural number is the sum of forty-nine palindromes}, 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.}, url = {http://arxiv.org/abs/1508.04721v1 http://arxiv.org/pdf/1508.04721v1}, author = {William D. Banks}, comment = {}, urldate = {2016-12-17}, archivePrefix = {arXiv}, eprint = {1508.04721}, primaryClass = {math.NT}, year = 2015, collections = {Fun maths facts,Integerology} }