journal6 ›› 2002, Vol. 23 ›› Issue (2): 1-2.

• Mathematics •     Next Articles

On the Euler's Factor and Its Order of Odd Perfect Numbers


  1. (Departmet of Mathematics,Zhanjiang Normal College,Zhanjiang 524046,Guangdong China)
  • Online:2002-06-15 Published:2013-01-05

Abstract: Let n be an odd perfect number,and let π,α denote the Euler's factor and its order of n respectively.In this paper we prove that if every non-Euler q of n satisfies q≡3(mod 4),then π≡α(mod 8).

Key words: odd perfect number, Euler's factor;order;congruence

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