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Other literature type . 2012
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Article . 2012
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Integers
Article . 2012 . Peer-reviewed
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Other literature type . 2012
License: CC BY
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Other literature type . 2012
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https://dx.doi.org/10.1515/int...
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Prime-Perfect Numbers

Prime-perfect numbers
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012Publisher:Walter de Gruyter GmbHJournal:Integers, volume 12 (issn: 1867-0652, eissn: 1867-0652, Copyright policy )
Authors: Paul Pollack; Carl Pomerance;

doi: 10.1515/integers-2012-0044 , 10.5281/zenodo.10144247 , 10.5281/zenodo.10144248

Prime-Perfect Numbers

Abstract

Abstract.We discuss a relative of the perfect numbers for which it is possible to prove that there are infinitely many examples. Call a natural numberasWe conclude by discussing some related problems posed by Harborth and Cohen.

Related Organizations
Keywords

Euler function, sum of divisors, applications of sieve methods., Arithmetic functions; related numbers; inversion formulas, prime numbers, Distribution of integers with specified multiplicative constraints

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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