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## On the Diophantus Equation x~3 + 1 = l3y~2 xy≠0

Wang Zhenjiang, Tong Ruizhou(Dept. of Maths., Chaoyang normal college, Liaoning)
In this paper, the following result is proved: Diophantus equation x3 + 1 = 13y2 have only integer solution x= -1, y = 0. Download(CAJ format) Download(PDF format)
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 1 MU Shan-zhi1,DAI Xi-min2(1.Department of Foundation Course,Jiangsu Teachers College of Technology,Changzhou 213001,China;2.School of Sciences,Hefei University of Technology,Hefei 230009,China);On the diuphantine equation x~3±1=py~2[J];Journal of Anhui University(Natural Sciences);2008-01 2 LE Mao-hua(Department of Mathematics,Zhanjiang Normal College,Zhanjiang Guangdong,524048,P.R.China);On the Diophantine Equation x~3+1=3py~2[J];Journal of Baoding Teachers College;2004-02 3 LE Mao-hua~(1,2) (Dept.Math., Zhanjiang Normal College, Zhanjiang 524048,Guangdong, China; Dept. Math. Wuzhou Normal School, Hezhou 542800, Guangxi, China);On the Diophantine equation x~3-1=py~2[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2004-02 4 GAO Jie 1,YUAN Jin 2(Department of Mathematics,Northwest University,Xi'an 710127,China);On the Diophantine equation x～3+1 = py～2[J];Pure and Applied Mathematics;2010-04 5 CHEN Xiao-hua1,LI Zhi-ping2(1.Department of Mathematics,Northwest University,Xi 'an 710069,China2.School of Mathematics,Physics and Saftware Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);On the Diophantine Equation x~3+1=3py~2[J];Journal of Chongqing Institute of Technology(Natural Science);2009-04 6 XIONG Chuan,LUO Ming(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China);On the Diophantine Equation x~3+27=139y~2[J];Journal of Chongqing Normal University(Natural Science);2012-02 7 Li Fuzhong(Department of Mathematics, Notheast Normal University, Changcun, 130024);On the Diophantine Equation x~3±（3~k）~3=Dy~2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1997-03 8 Li Fuzhong(Department of Mathematics, Northeast Normal University, Changchun,130024);On the Diophantine Equation x￣3±512=3Dy￣2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1994-01 9 Li Fuzhong(Department of Mathematics. Northeast Normal University,Changchun. 130024);On the Diophantine Equation x￣3±64=3Dy￣2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1994-02 10 HU Yong-zhong,ZHANG Ting,ZHANG Li,JIANG Yan-juan,TAN Kai-fa(Department of Information Sciences and Mathematics,Foshan University,Foshan 528000,China);On the diophantine equation of x~3-1=Dy~2[J];Journal of Foshan University(Natural Science Edition);2010-06
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