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arXiv · 2009.03275

New examples of the representation of 1 by the sum of reciprocals of semiprime numbers

Tatsuru Watanabe
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Abstract

In 1978, Allan.Wm.Johnson obtained an example of the representation of 1 by the sum of reciprocals of the product of two distinct prime numbers. His example has 48 terms [1], and we had no examples which have less than 48 terms until now. In this paper, we construct 17 new examples that have less than 48 terms. Since all of the new examples have 47 terms and we have no examples which have less than 47 terms, it is assumed that the minimum number of terms is 47.

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Tatsuru Watanabe. 2020-09-09. New examples of the representation of 1 by the sum of reciprocals of semiprime numbers. https://arxiv.org/abs/2009.03275

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