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COMPLETE SOLUTION OF A PROBLEM OF DIOPHANTUS AND EULER

Published online by Cambridge University Press:  04 February 2005

ANDREJ DUJELLA
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia [email protected]
CLEMENS FUCHS
Affiliation:
Institut für Mathematik, Technische Universität Graz, Steyrergasse 30, 8010 Graz, [email protected]
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Abstract

It is proved that there does not exist a set of four positive integers with the property that the product of any two of its distinct elements plus their sum is a perfect square. This settles an old problem investigated by Diophantus and Euler.

Type
Notes and Papers
Copyright
The London Mathematical Society 2005

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