journal6 ›› 2003, Vol. 24 ›› Issue (3): 1-2.

• Mathematics •     Next Articles

Perfect Powers in Fermat Quotients

  

  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,Guangdong China)
  • Online:2003-09-15 Published:2012-11-07

Abstract: Let p be an odd prime,and x and n be odd integers with min (x,n)>1.The author proves that if p≡7(mod 12),the Fermat quotient F(p,x) is not an nth perfect power.

Key words: Fermat quotient, perfect power, exponential diophantine equation

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