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邓谋杰, 李春燕. 关于丢番图方程1+2x7y+2z5u7v=5w[J]. journal6, 2009, 30(4): 1-3.
DENG Mou-Jie, LI Chun-Yan. On the Diophantine Equation 1+2x7y+2z5u7v=5w[J]. journal6, 2009, 30(4): 1-3.
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).