A Problem in Pythagorean Arithmetic

Notre Dame Journal of Formal Logic 59 (2):197-204 (2018)
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Abstract

Problem 2 at the 56th International Mathematical Olympiad asks for all triples of positive integers for which ab−c, bc−a, and ca−b 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.

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Citations of this work

The arithmetic of the even and the odd.Victor Pambuccian - 2016 - Review of Symbolic Logic 9 (2):359-369.
Another arithmetic of the even and the odd.Celia Schacht - 2018 - Review of Symbolic Logic 11 (3):604-608.

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References found in this work

The arithmetic of the even and the odd.Victor Pambuccian - 2016 - Review of Symbolic Logic 9 (2):359-369.
Another arithmetic of the even and the odd.Celia Schacht - 2018 - Review of Symbolic Logic 11 (3):604-608.

Add more references