关于不定方程6x(x+1)(x+2)(x+3)=17y(y+1)(y+2)(y+3)的正整数解研究  

A Research of the Positive Integer Solution of the Diophantine Equation 6x(x+1)(x+2)(x+3)=17y(y+1)(y+2)(y+3)

作　　者：卓国梁 

机构地区：[1]西南大学数学与统计学院,重庆

出　　处：《应用数学进展》2024年第3期949-955,共7页Advances in Applied Mathematics

摘　　要：本文主要通过运用Pell方程,递归序列,平方剩余等方法,证明了不定方程6x(x+1)(x+2)(x+3)=17y(y+1)(y+2)(y+3) 无正整数解。In this paper, with the methods of Pell equation, recurrence sequence, quadratic remainder, we have shown that the Diophantine equation 6x(x+1)(x+2)(x+3)=17y(y+1)(y+2)(y+3) has no positive integer solution.

关 键 词：不定方程 PELL方程 递归序列 平方剩余 

分 类 号：G63[文化科学—教育学]