Title: On some properties of the Euler's factor of certain odd perfect numbers
Abstract: Let n=πα32βQ2β be an odd positive integer, with π prime, π≡α≡1 (mod 4), Q squarefree, (Q,π)=(Q,3)=1. It is shown that: if n is perfect, then σ(πα)≡0 (mod32β). Some corollaries concerning the Euler's factor of odd perfect numbers of the above mentioned form, if any, are deduced.
Publication Year: 2005
Publication Date: 2005-08-09
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 4
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