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《Journal of Natural Science of Heilongjiang University》 1991-04
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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.
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5 FENG Guo-feng~(1,2)(1.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047;2.Dept.of Basic Instruction,Chongqing Vocational & Technical College,Chongqing 400712,China);On the Diophantine Equation x~3+1=2py~2[J];Journal of Chongqing Normal University(Natural Science Edition);2006-04
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1 Ko Chao Sun Chi;ON THE DIOPHANTINE EQUATIONSx~3+1=3Dy~2[J];Journal of Sichuan University (Natural Science Edition);1981-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
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
【Co-references】
Chinese Journal Full-text Database 10 Hits
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 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
4 YU zhao-yang(Department of Engineering,Xichang College,Xichang 615013,China);On the Diophantine Equation x~3-1=13y~2[J];Journal of Chongqing Institute of Technology;2006-11
5 Luo Ming(Chongqing Teachers Colleg);Onthe Indeterminate Equation x3±1 = 14y2[J];JOURNAL OF CHONGQING JIAOTONG INSTITUTE;1995-03
6 Luo Ming (Department of Mathematics);ON THE DIOPHANTINE EQUATION X(X + 1 )(X + 2)(X + 3) = 7Y(Y + 1 )(Y + 2)(Y + 3)[J];Journal of Chongqing Teachers College(Natural Science Edition);1991-01
7 LUO Ming (College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047,China);On the Diophantine Equation x~3+1=7y~2[J];Journal of Chongqing Teachers College(Natural Science Edition);2003-01
8 Luo Ming(Dept.of Mathematics,Chongqing Teachers College,Chongqing,630047);On the Diophantine Equation x ̄4-pqy ̄2=1[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);1995-03
9 Luo Ming(Dept. of Mathematics,Chongqing Teachers College,Chongqing,630047);On the Diophantine Equation x ̄3±8=7y ̄2[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);1995-03
10 Li Fuzhong(Department of Mathematics,Northeast Normal University,Changchun,130024);On the Diophantine Equation x ̄3±729=Dy ̄2[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1995-01
【Secondary References】
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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
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3 DOU Zhi-hong(School of Mathematics and Statistics,Inner Mongolia Finance and Economics College,Hohhot 010051,China);The number of positive integral points on the elliptic curve y~2 = 2px(x~2 + 1)[J];Pure and Applied Mathematics;2011-02
4 LIU Jie(Sanming Vocational and Technical College,Sanming 365000,China);Indeterminate Equation of x~3+1=57y~2[J];Journal of Chengdu University(Natural Science Edition);2009-04
5 LIU Jie(Sanming Vocational and Technical College,Sanming 365000,China);Diophantine Equation x~2-5y~4=89[J];Journal of Chengdu University(Natural Science Edition);2011-04
6 YU zhao-yang(Department of Engineering,Xichang College,Xichang 615013,China);On the Diophantine Equation x~3-1=13y~2[J];Journal of Chongqing Institute of Technology;2006-11
7 ZHENG Zi-xia(College of Mathematics and Computer,Chongqing Normal University,Chongqing 400047,China);On Diophantine Equation[J];Journal of Chongqing Institute of Technology(Natural Science);2008-05
8 FENG Guo-feng~(1,2)(1.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047;2.Dept.of Basic Instruction,Chongqing Vocational & Technical College,Chongqing 400712,China);On the Diophantine Equation x~3+1=2py~2[J];Journal of Chongqing Normal University(Natural Science Edition);2006-04
9 ZHU De-hui(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);On the Diophantine Equation y~2-3y~4=166[J];Journal of Chongqing Normal University(Natural Science);2008-03
10 ZHENG Zi-xia(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);On the Diophantine Equation x~2-7y~4=93[J];Journal of Chongqing Normal University(Natural Science);2008-04
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