Complete Solution of a Problem of Diophantus and Euler |
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| Authors: | Dujella Andrej; Fuchs Clemens |
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| Institution: | Department of Mathematics, University of Zagreb Bijeni ka cesta 30, 10000 Zagreb, Croatia, duje{at}math.hr
Institut für Mathematik, Technische Universität Graz Steyrergasse 30, 8010 Graz, Austria, clemens.fuchs{at}tugraz.at |
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| Abstract: | It is proved that there does not exist a set of four positiveintegers with the property that the product of any two of itsdistinct elements plus their sum is a perfect square. This settlesan old problem investigated by Diophantus and Euler. |
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