In this paper,by using Gauss domain,the algebraic theory of numbers was used to prove that the Diophantine equation x2+64=y7 has interger solution,which advanced the study of the Diophantine equation.
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张杰.关于不定方程x2+64=y7的解的讨论[J].重庆工商大学学报(自然科学版),2012,29(3):27-28 ZHANG Jie. Discussion on the Solution to Diophantine Equation x2+64=y7[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2012,29(3):27-28