关于不定方程 x3±8=73y2

马静, 罗明. 关于不定方程 x3±8=73y2J. 内江师范学院学报, 2011, (12): 26-27.

引用本文:

马静, 罗明. 关于不定方程 x3±8=73y2J. 内江师范学院学报, 2011, (12): 26-27.

MA Jing, LUO Ming. On the Diophantine Equation of x3±8=73y2J. Journal of Neijiang Normal University, 2011, (12): 26-27.

Citation:

MA Jing, LUO Ming. On the Diophantine Equation of x3±8=73y2J. Journal of Neijiang Normal University, 2011, (12): 26-27.

On the Diophantine Equation of x3±8=73y2

摘要: 利用同余式和递归数列的方法,证明了不定方程x3±8=73y2无适合gcd(x,y)=1的整数解.

Abstract: By use of congruence expression and the method of recurrent sequence,it is proved that there exists no integer solution for the Diophantine equation x3±8=73y2 that fits (x,y)=1.

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