# Problem in pythagorean arithmetic

Research output: Contribution to journalArticle

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 language English (US) 197-204 8 Notre Dame Journal of Formal Logic 59 2 https://doi.org/10.1215/00294527-2017-0028 Published - Jan 1 2018

Odd
Integer
Form

### Keywords

• Elementary number theory
• Pythagorean arithmetic

• Logic

### Cite this

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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