摘要
设x,y,z,u,v,w为非负整数,用计算机辅助方法给出了指数丢番图方程1+2x7y+2z5u7v=5w的全部非负整数解:(x,y,z,u,v,w)=(1,0,1,0,0,1),(1,1,1,1,0,2),(2,0,2,1,0,2),(3,0,4,0,0,2),(4,0,3,0,0,2),(4,1,9,0,0,4),(5,1,4,2,0,4),(6,0,4,1,1,4),(9,0,4,0,1,4).
Let x, y, z, u, v, w be nonnegative integers, with computer assistance, all solutions in normegative integers to the Diophantine equation 1+2^x7^y+2^z5^u7^v=5^w are given:(x,y,z,u,v,w)=(1,0,1,0,0,1),(1,1,1,1,0,2),(2,0,2, 1,0,2), (3,0,4,0,0,2), (4,0,3,0,0,2) ,(4,1,9,0,0,4), (5,1,4,2,0,4), (6,0,4,1,1,4), (9,0,4,0,1,4).
出处
《吉首大学学报(自然科学版)》
CAS
2009年第4期1-3,共3页
Journal of Jishou University(Natural Sciences Edition)
基金
海南省自然科学基金资助项目(808101)
关键词
指数丢番图方程
整数解
计算机辅助解法
exponential Diophantine equation
solutions in integer
computer-aided solution