Complete solution of a problem of Diophantus and Euler

被引：44

作者：

Dujella, A ^{[1
]}

Fuchs, C

机构：

[1] Univ Zagreb, Dept Math, Bijenicka Cesta 30, Zagreb 10000, Croatia

[2] Graz Univ Technol, Inst Math, A-8010 Graz, Austria

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2005年 / 71卷

基金：

奥地利科学基金会;

关键词：

D O I：

10.1112/S002461070400609X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：33 / 52

页数：20

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