Abstract
Let n = π α 3 2 β Q 2 β 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 ( π α ) ≡ 0 ( mod 3 2 β ) . Some corollaries concerning the Euler's factor of odd perfect numbers of the above mentioned form, if any, are deduced.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.