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Perfect numbers - a lower bound for an odd perfect number

Author

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  • Berdellima, Arian

Abstract

In this work we construct a lower bound for an odd perfect number in terms of the number of its distinct prime factors. We further generalize the formula for any natural number for which the number of its distinct prime factors is known.

Suggested Citation

  • Berdellima, Arian, 2011. "Perfect numbers - a lower bound for an odd perfect number," MPRA Paper 31218, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:31218
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    File URL: https://mpra.ub.uni-muenchen.de/31218/1/MPRA_paper_31218.pdf
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    More about this item

    Keywords

    Perfect Numbers; Odd Perfect Numbers; Positive Divisors; Prime Factors; Lower Bound.;
    All these keywords.

    JEL classification:

    • A19 - General Economics and Teaching - - General Economics - - - Other

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