An Extension of an Old Problem of Diophantus and Euler-ii
نویسنده
چکیده
Diophantus found three rationals ~, -y, ~ with the property that the product of any two of them Increased by the sum of those two gives a perfect square (see [5], pp. 85-86, 215-217), and Euler found four rationals ^ , ^ 4 , -̂ -, j with the same property (see [4], pp. 518-519). We will call a set {x1? x2,..., xm} ofm rationals such that xtXj +xt +Xj is a perfect square for all 1 < i < j < m a Eulerian m-tuple. In [8], we found the Eulerian quintuple
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تاریخ انتشار 2002