On The Diophantine Equation x<sup>3</sup>=Dy<sup>2</sup>+1

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On The Diophantine Equation x3=Dy2+1
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In this paper, we study the equation of the title with D general. The equation has nontrivial integer solutions, only when D=7, 26, 31, 38 or 61, for 0

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Ni Guyan. On The Diophantine Equation x³=Dy²+1[J]. Journal of National University of Defense Technology,1999,21(5):109-111.

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Received:April 02,1999
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Online: November 18,2013
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