Corpus ID: 116996558

Revisiting Unit Fractions That Sum to 1 (経済学部特集号)

@inproceedings{Nishiyama2015RevisitingUF,
  title={Revisiting Unit Fractions That Sum to 1 (経済学部特集号)},
  author={Y. Nishiyama},
  year={2015}
}
  • Y. Nishiyama
  • Published 2015
  • Mathematics
  • This paper is a continuation of a previous paper. Here, as there, w ee xamine the problem o ff ind- ing the maximum number of terms in a partial sequence of distinct unit fractions larger than 1/100 that sums to 1. In the previous paper, we found tha tt he maximum number of terms is 42 and intro- duced a method for showing that. In this paper, we demonstrate tha tt here are 27 possible solutions with 42 terms, an dd iscuss how prime ss how that no 43-term solution exists. 

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    Having Fun With Unit Fractions, Plus Magazine, Feb 2012. 7 Figure 1: The 27 solutions for n = 42

    • Y. Nishiyama
    • 2012
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    Unit Fractions that Sum to 1

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