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Irish Mathematical Society Bulletin
Article
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Irish Mathematical Society Bulletin
Article . 2009 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.33232/bi...
Other literature type
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https://dx.doi.org/10.33232/bi...
Other literature type
Data sources: Microsoft Academic Graph
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The imperfect Fibonacci and Lucas numbers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2009 English Publisher:Maynooth UniversityJournal:Irish Mathematical Society Bulletin, volume 63, pages 33-43 (issn: 0791-5578, Copyright policy )
Authors: John H. Jaroma;

doi: 10.33232/bims.0063.33.43

The imperfect Fibonacci and Lucas numbers

Abstract

A perfect number is any positive integer that is equal to the sum of its proper divisors. Several years ago, F. Luca showed that the Fibonacci and Lucas numbers contain no perfect numbers. In this paper, we alter the argument given by Luca for the nonexistence of both odd perfect Fi- bonacci and Lucas numbers, by making use of an 1888 result of C. Servais. We also provide a brief historical account of the study of odd perfect numbers.

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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!
1
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