Perfect numbers - a lower bound for an odd perfect number

Arian Berdellima

MPRA Paper from University Library of Munich, Germany

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.

Keywords: Perfect Numbers; Odd Perfect Numbers; Positive Divisors; Prime Factors; Lower Bound. (search for similar items in EconPapers)
JEL-codes: A19 (search for similar items in EconPapers)
Date: 2011-05-03
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:31218

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