西南师范大学学报（自然科学版）
西南師範大學學報（自然科學版）
서남사범대학학보（자연과학판）
JOURNAL OF SOUTHWEST CHINA NORMAL UNIVERSITY
2009年
5期
16-21
,共6页
不定方程%整数解%递归序列%平方剩余
不定方程%整數解%遞歸序列%平方剩餘
불정방정%정수해%체귀서렬%평방잉여
Diophantine equation%integer solution%recursive sequence%quadratic remainder
运用递推序列方法,证明了不定方程3x(x+1)(x+2)(x+3)=5y(y+1)(y+2)(y+3)仅有正整数解(x,y)=(7,6).
運用遞推序列方法,證明瞭不定方程3x(x+1)(x+2)(x+3)=5y(y+1)(y+2)(y+3)僅有正整數解(x,y)=(7,6).
운용체추서렬방법,증명료불정방정3x(x+1)(x+2)(x+3)=5y(y+1)(y+2)(y+3)부유정정수해(x,y)=(7,6).
In this paper, with the primary method of recurrence sequences the authors have Shown that the only solution in positive integers of the equation of the title is (x, y)=(7, 6).
