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《Journal of Huaiyin Teachers College(Natural Science Edition)》 2014-01
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On Study of the Diophantine Equation x~3± 64 = Py~2

QIAN Li-kai;PU Fen-li;School of Teacher Education,Qujing Normal University;College of Mathematics and statistics,Puer University;  
Let P be an odd prime. In this paper,we prove that the indefinite equation x3± 64 = Py2have no positive integer solutions,where D≡1,19( mod 24)
【CateGory Index】: O156.7
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