摘要
利用同余、平方剩余、递归序列、Pell方程的解的性质证明了丢番图方程x^3-1=371y^2仅有整数解(x,y)=(1,0).
By using congruence, quadratic residue, recursive sequence, properties of the solution to Pell equation, it is proved that the Diophantine equation x^3-1=371y^2 has only integer solution （x , y）=（1,0）.
作者
崔保军
CUI Bao-jun(Department of Mathematics,Gansu Normal University for Nationalities,Hezuo 747000,China)
出处
《广西师范学院学报（自然科学版）》
2018年第2期25-27,共3页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
甘肃省高等学校科研项目(2016B111)
关键词
丢番图方程
整数解
平方剩余
同余
Diophantine equation
integer solution
quadratic residue
congruence
