journal6 ›› 2010, Vol. 31 ›› Issue (4): 5-7.

• Mathematics • Previous Articles     Next Articles

On the Exponential Diophantine Equation nx+(n+2)y=(n+1)z


  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,Guangdong China)
  • Online:2010-07-25 Published:2012-04-16

Abstract: Let n be a positive integer.Using the Gel’fond-Baker method,the author proves that if n>3·1015,the equation nx+(n+2)y=(n+1)z has no positive integer solution (x,y,z).

Key words: exponential diophantine equation, positive integer solution, Gel&rsquo, fond-Baker method

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