journal6 ›› 2009, Vol. 30 ›› Issue (4): 1-3.

• Mathematics •     Next Articles

On the Diophantine Equation 1+2x7y+2z5u7v=5w


  1. (College of Information Science and Technology,Hainan University,Haikou  570228,China)
  • Online:2009-07-25 Published:2012-04-22

Abstract: Let x,y,z,u,v,w be nonnegative integers,with computer assistance,all solutions in nonnegative integers to the Diophantine equation 1+2x7y+2z5u7v=5w 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).

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

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