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A recurring pattern in natural numbers of a certain property

Number Theory 2020-12-04 v2

Abstract

Natural numbers satisfying an unusual property are mentioned by the author in [5], in which their infinitude is also proved. In this paper, we start with an arbitrary natural number which is not a multiple of 10 and non-palindromic, form numbers by concatenating its decimal digits, and investigate which of them have the unusual property. In particular, the pattern of which of them have the unusual property recurs.

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Cite

@article{arxiv.2010.03151,
  title  = {A recurring pattern in natural numbers of a certain property},
  author = {Daniel Tsai},
  journal= {arXiv preprint arXiv:2010.03151},
  year   = {2020}
}

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14 pages