1 Citation (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)197-204
Number of pages8
JournalNotre Dame Journal of Formal Logic
Volume59
Issue number2
DOIs
StatePublished - Jan 1 2018

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Keywords

  • Elementary number theory
  • Pythagorean arithmetic

ASJC Scopus subject areas

  • Logic

Cite this

Problem in pythagorean arithmetic. / Pambuccian, Victor.

In: Notre Dame Journal of Formal Logic, Vol. 59, No. 2, 01.01.2018, p. 197-204.

Research output: Contribution to journalArticle

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