Complete solution of a problem of Diophantus and Euler

• Autores: Andrej Dujella, Clemens Fuchs
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 1, 2005, págs. 33-52
• Idioma: inglés
• DOI: 10.1112/s002461070400609x
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• Resumen

  • 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.