journal6 ›› 2007, Vol. 28 ›› Issue (2): 1-2.

• Mathematics •     Next Articles

On the k Fold S-Perfect Numbers


  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,Guangdong China)
  • Online:2007-03-25 Published:2012-06-18

Abstract: For any  positive integer n,let S(n) denote the Smarandache function of n.Further let f(n)=d|n S(d).For a fixed positive integer k,if n satisfies f(n)=kn,then n is called a k  fold S-perfect number.It is proved that if k>2,then there is no k  fold S-prefect number.

Key words: Smarandache function, k fold S-perfect number, existence

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