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

• Published in 2015
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.

### 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
}