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Note on Perfect Numbers and their Existence

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Abstract:

This paper will address the interesting results on perfect numbers. As we know that,perfect number ends with 6 or 8 and perfect numbers had some special relation with primes. Hereone can understand that the reasons of relation with primes and existence of odd perfect numbers. If exists, the structures of odd perfect numbers in modulo.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 3)
Pages:
15-19
Citation:
K. R. R. Gandhi, "Note on Perfect Numbers and their Existence", Bulletin of Mathematical Sciences and Applications, Vol. 3, pp. 15-19, 2013
Online since:
February 2013
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References:

http: /en. wikipedia. org/wiki/Perfect_number.

James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge Unversity Press, New York (2005).

Song Y. Yan, Number Theory for Computing , Springer-Verlag Berlin Heidelberg New York, 2nd dition, (2002).

Thomas Koshy, Elementary Number Theory with Applications, Elsevier, 2nd edition, USA.

Yu Hong Bing, Problems of Number Theory in Mathematical Competitions, East China Normal University Press, (2010).

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