arXiv Open Access 2015

A problem in Pythagorean Arithmetic

Victor Pambuccian

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Abstrak

Problem 2 at the 56th International Mathematical Olympiad (2015) asks for all triples (a,b,c) 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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math.LO math.NT

Penulis (1)

Victor Pambuccian

Format Sitasi

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Pambuccian, V. (2015). A problem in Pythagorean Arithmetic. https://arxiv.org/abs/1510.01645

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Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓