✦ LIBER ✦

There are no small odd perfect numbers

✍ Scribed by Aleksander Grytczuk; Marek Wójtowicz

Book ID: 104345432
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 278 KB
Volume: 328
Category: Article
ISSN: 0764-4442
DOI: 10.1016/s0764-4442(99)80421-2

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✦ Synopsis

We prove that every odd perfect number N has at least 420 distinct prime divisors, and that N is greater than 1~ 9 x 10'""'. 0 AcadCmie des Sciences/Elsevier, Paris I1 n'existe pas de petits nombres par$aits impairs RCsumC. Nous defmontrons que tout nombre N parfait impair posskde au mains 420 facteurs premiers d@rents, et que N est plus grand que 1,9 x 10""50. 0 AcadCmie des SciencesElsevier, Paris

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