On bounds of perfect number

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DOI:

https://doi.org/10.26637/MJM0803/0104

Abstract

In this paper we discuss about odd perfect numbers. We first prove an important inequality and use it to discuss about bounds of sum of reciprocal prime divisors of the perfect number. We then derive an important conclusion about improving the upper bound incase when (15,n)=5.

Keywords:

Perfect number, divisors, upper-bounds

Mathematics Subject Classification:

Mathematics
  • Uma Dixit Department of Mathematics, University Post Graduate College, Secunderabad -500003, Telangana, India.
  • Pages: 1328-1330
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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John A. Ewell, On the multiplicative structure of odd perfect numbers, J. Number Theory, 12(1980), 339-342.

Kishore Masao, Odd integers $N$ with five distinct prime factors for which $2-10^{-12}

M. Perisastry, A note on odd perfect numbers, Math. Student, 26(1958), 179-181.

W. Sierpinski, Theorialiczb, czesc II, Warszawa, 1959.

W. Sierpinski, A Selection of Problems in the Theory of Numbers, New York; 1964.

  • NA

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Published

01-07-2020

How to Cite

Uma Dixit. “On Bounds of Perfect Number”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1328-30, doi:10.26637/MJM0803/0104.