Interesting Esoterica

Every natural number is the sum of forty-nine palindromes

Article by William D. Banks
  • 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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key
Everynaturalnumberisthesumoffortyninepalindromes
type
article
date_added
2016-12-17
date_published
2015-05-24

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 = {2015-05-24},
	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
}