Problem in pythagorean arithmetic

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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
Issue number2
StatePublished - 2018


  • Elementary number theory
  • Pythagorean arithmetic

ASJC Scopus subject areas

  • Logic


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