journal6 ›› 2006, Vol. 27 ›› Issue (2): 1-2.

• Mathematics •     Next Articles

On the Prime Solutions of the Diophantine Equation X2+Y2=Zr


  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,Guangdong China)
  • Online:2006-03-25 Published:2012-09-16

Abstract: Let r be an odd integer with r>1.In this paper the author gives a necessary condition for (X,Y,Z) being a positive integer solution of the equation X2+Y2=Zr with Y being a power of an odd prime.

Key words: higher diophantine equation, prime solution, necessary condition

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