A problem in Pythagorean Arithmetic
Logic
2018-05-23 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1510.01645,
title = {A problem in Pythagorean Arithmetic},
author = {Victor Pambuccian},
journal= {arXiv preprint arXiv:1510.01645},
year = {2018}
}