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关于Diophantine方程31x2+33y=2z
引用本文:张锦来.关于Diophantine方程31x2+33y=2z[J].佳木斯大学学报,2008,26(3):394-396.
作者姓名:张锦来
作者单位:朝阳师专 辽宁朝阳122000
摘    要:用递推序列与因子分解相结合的方法证明了方程31x2 33y=2z仅有整数解31 33=26.显然这一方法可用来求解方程ax2 dy=2z,其中a,d为整数.

关 键 词:Diophantine方程  整数解  递推序列法  因子分解法

On the Diophantine Equation 31x2+33y=2z
ZHANG Jin-lai.On the Diophantine Equation 31x2+33y=2z[J].Journal of Jiamusi University(Natural Science Edition),2008,26(3):394-396.
Authors:ZHANG Jin-lai
Abstract:The method which unified the recursion sequence and the factorization had proven that equation 31x2 33y=2z only has the integer solution 31 33=26.Obviously,this method may be used to solve equation ax2 dy=2z,where a and d are integers.
Keywords:Diophantine equation  integer solution  recursion sequence method  factorization method
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