journal6 ›› 2011, Vol. 32 ›› Issue (1): 4-6.

• Mathematics • Previous Articles     Next Articles

On the Diophantine Equation 1+7x=2y5z+2u5v7w


  1. (College of Information Science and Technology,Hainan University,Haikou  570228,China)
  • Online:2011-01-25 Published:2012-04-10

Abstract: With computer assistance,all solutions in nonnegative integers to the diophantine equation 1+7x=2y5z+2u5v7w are given by
(x,y,z,u,v,w)≡(1,2,0,2,0,0),(2,0,2,0,2,0),(2,1,1,3,1,0),(2,3,1,1,1,0),(3,5,0,3,1,1),(t,0,0,0,0,t),where t is any nonnegative integer.

Key words: exponential diophantine equation;solutions in integer;computer-aided , solution

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