More properties about odd perfect numbers

Arian Berdellima

MPRA Paper from University Library of Munich, Germany

Abstract: As shown by Euler an odd perfect number n must be of the form n=p^α m^2 where p≡α≡1 (mod 4) and p is called the special prime. In this work we show that p≥13 and if q∈{3,5} and q|n then either gcd⁡(q,σ(m^2 ))=1 or gcd⁡(q,σ(p^α ))=1.

Keywords: perfect numbers; odd perfect numbers; special prime; greatest common divisor (search for similar items in EconPapers)
JEL-codes: C00 Z0 (search for similar items in EconPapers)
Date: 2011-06-15
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/31587/1/MPRA_paper_31587.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/81731/1/MPRA_paper_81731.pdf revised version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:31587

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().