Every natural number is the sum of forty-nine palindromes

• Published in 2015
• Added on 2016-12-17

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.

Links

• http://arxiv.org/abs/1508.04721v1
• http://arxiv.org/pdf/1508.04721v1

Other information

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 = {2015-12-07},
	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
}