journal6 ›› 2004, Vol. 25 ›› Issue (2): 1-2.

• Results of NSFC •     Next Articles

On Divisibility of Euler Numbers


  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,Guangdong China)
  • Online:2004-06-15 Published:2012-11-06
  • About author:LE Mao-hua(1952-),male,was born in Shanghai City,professor of Department of Mathematics,Zhanjiang Normal College,research area is number theory.
  • Supported by:

    Supported by National Natural Science Foundation of China(10271104);Guangdong Provincial Natural Science Foundation (011781);Natural Science Foundation of the Education Department of Guangdong Province (0161)

Abstract: Let pbe an odd prime,we give a necessary and sufficient condition for Et≡0(mod p),where t=2[p/4],Etis the  t-th Euler number.In particular,if p≡5(mod 8),then Et0(mod p).

Key words: Euler number, divisibility;congruence

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