The abundancy index of divisors of odd perfect numbers – Part II
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Published:2021-06
Issue:2
Volume:27
Page:12-19
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ISSN:1310-5132
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Container-title:Notes on Number Theory and Discrete Mathematics
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language:
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Short-container-title:NNTDM
Author:
Dagal Keneth Adrian Precillas, ,Dris Jose Arnaldo Bebita,
Abstract
In this note, we show that if N = q^kn^2 is an odd perfect number with special prime q, and N is not divisible by 3, then the inequality q < n holds. We then give another unconditional proof for the inequality q < n which is independent of the results of Brown and Starni.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)