Notre Dame Journal of Formal Logic
- Notre Dame J. Formal Logic
- Volume 59, Number 2 (2018), 197-204.
A Problem in Pythagorean Arithmetic
Problem 2 at the 56th International Mathematical Olympiad (2015) asks for all triples of positive integers for which , , and are all powers of . 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.
Notre Dame J. Formal Logic, Volume 59, Number 2 (2018), 197-204.
Received: 22 October 2015
Accepted: 2 December 2015
First available in Project Euclid: 9 January 2018
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Pambuccian, Victor. A Problem in Pythagorean Arithmetic. Notre Dame J. Formal Logic 59 (2018), no. 2, 197--204. doi:10.1215/00294527-2017-0028. https://projecteuclid.org/euclid.ndjfl/1515467280