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The simultaneous diophantine equations 5Y2 ? 20 = X2 and 2Y2 + 1 = Z2
Authors:SP Mohanty  AMS Ramasamy
Institution:Department of Mathematics, Indian-Institute of Technology, Kanpur-208016, U.P., India
Abstract:The three numbers 1, 5, 10 have the property that the product of any two numbers decreased by 1 is a perfect square. In this paper it is proved that there is no other positive integer N which shares this property with 1, 5, and 10.
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