Some, Exponential Diophantine Equations

关于一类指数Diophantus方程

In this paper, the author gave all non-negative integer solutions of the equations 97~x+31~y=2~z, 17~x+47~y=2~z, 41~x+23~y=2~z, 11~x+53~y=2~z, 59~x+5~y=2~z and 67~x+61~y=2~z.