The extensibility of D(4)-pairs
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چکیده
A set of m positive integers with the property that the product of any two of them increased by 4 is a perfect square is called a D(4)-m-tuple. In this paper, we consider the extensibility of a general D(4)-pair {a, b} and prove some results supporting the conjecture that there does not exist a D(4)-quintuple. AMS subject classifications: 11D09, 11J68
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تاریخ انتشار 2013