
On the Diophantine Equation 1+2^{x}7^{y}+2^{z}5^{u}7^{v}=5^{w}
 DENG MouJie, LI ChunYan

journal6, 2009, 30(4):
13.

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DENG MouJie, LI ChunYan. On the Diophantine Equation 1+2^{x}7^{y}+2^{z}5^{u}7^{v}=5^{w}[J]. journal6, 2009, 30(4): 13.
Let x,y,z,u,v,w be nonnegative integers,with computer assistance，all solutions in nonnegative integers to the Diophantine equation 1+2^{x}7^{y}+2^{z}5^{u}7^{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).