On Multiplicative Magic Squares

descriptionPublicationkeyboard_double_arrow_right Article 14 Jan 2010Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 17 (eissn: 1077-8926,

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Authors: Javier Cilleruelo; Florian Luca;

doi: 10.37236/457

handle: 10261/31042

On Multiplicative Magic Squares

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Abstract

In this note, we give a lower bound for the distance between the maximal and minimal element in a multiplicative magic square of dimension $r$ whose entries are distinct positive integers.

Related Organizations

Spanish National Research Council
Spain
Universidad de Morelia
Mexico
Autonomous University of Madrid
Spain
Complutense University of Madrid
Spain
National Autonomous University of Mexico
Mexico

Keywords

Multiplicative number theory, Other combinatorial number theory, multiplicative magic squares, Orthogonal arrays, Latin squares, Room squares

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