The Exact Computation of the Decompositions of the Recto Table of the Rhind Mathematical Papyrus
History Research
Volume 6, Issue 2, December 2018, Pages: 33-49
Received: Dec. 1, 2018; Accepted: Dec. 21, 2018; Published: Feb. 14, 2019
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Author
Carlos Dorce, Faculty of Mathematics, University of Barcelona, Barcelona, Spain
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Abstract
The Rhind Mathematical Papyrus contains in the fragment known as the Recto Table the division of 2 by all the odd integer numbers from 3 to 101. This table hides the secret of how it was computed by its ancient Egyptian author because, till now, there is not a set of established known assumptions which allow compute all its values without any exception. In this paper, the algorithm which computes all the Recto Table is going to be established except three cases (denominators n = 35, 91 ad 95) which are calculated using another formula and the final denominator n = 101 which is a rareness.
Keywords
History of Mathematics, Rhind Papyrus, Kahun Papyrus, Recto Table, Prime Numbers, Algorithm, Unit Fractions
To cite this article
Carlos Dorce, The Exact Computation of the Decompositions of the Recto Table of the Rhind Mathematical Papyrus, History Research. Vol. 6, No. 2, 2018, pp. 33-49. doi: 10.11648/j.history.20180602.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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