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2018 A Problem in Pythagorean Arithmetic
Victor Pambuccian
Notre Dame J. Formal Logic 59(2): 197-204 (2018). DOI: 10.1215/00294527-2017-0028

Abstract

Problem 2 at the 56th International Mathematical Olympiad (2015) asks for all triples (a,b,c) of positive integers for which abc, bca, and cab are all powers of 2. We show that this problem requires only a primitive form of arithmetic, going back to the Pythagoreans, which is the arithmetic of the even and the odd.

Citation

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Victor Pambuccian. "A Problem in Pythagorean Arithmetic." Notre Dame J. Formal Logic 59 (2) 197 - 204, 2018. https://doi.org/10.1215/00294527-2017-0028

Information

Received: 22 October 2015; Accepted: 2 December 2015; Published: 2018
First available in Project Euclid: 9 January 2018

zbMATH: 06870288
MathSciNet: MR3778307
Digital Object Identifier: 10.1215/00294527-2017-0028

Subjects:
Primary: 03C62, 11U99
Secondary: 11A99

Rights: Copyright © 2018 University of Notre Dame

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Vol.59 • No. 2 • 2018
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