关于丢番图方程｜3x-2y｜=p解的非唯一性问题  

On Solution for the Diophantine Equation ｜3x -2y｜=p

作　　者：周科[1] 

机构地区：[1]广西师范学院数学与计算机科学系,广西南宁530001

出　　处：《广西师范学院学报（自然科学版）》2008年第2期48-50,55,共4页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：广西壮族自治区教育厅科研项目(200507162)

摘　　要：设p为素数.2005年周科证明了p=41,43,53,59,67,71时,方程｜3x-2y｜=p无非负整数解.2007年周科证明了p=83,87,97时,方程｜3x-2y｜=p无非负整数解.该文证明当p=5,7,13,23时,方程有超过一组的整数解,并给出所有整数解.Let p be Prime. The Diophantine equation ｜ 3x - 2y] = p has no integral solving when p = 41,43,53,59,67,71 has been proved by Zhou Ke in 2005, and this equation has no integral solving also when p = 83, 89,97 will be proved by Zhou Ke in 2007. The equation has more group solving when p = 5, 7,13,23, and all the solving has been given in this paper.

关 键 词：素数 丢番图方程 整数解 

分 类 号：O156[理学—数学]