| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595685 | Journal of Number Theory | 2006 | 4 Pages |
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 . Some corollaries concerning the Euler's factor of odd perfect numbers of the above mentioned form, if any, are deduced.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
