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arXiv:1906.09947 [math.NT]AbstractReferencesReviewsResources

On Deficient Perfect Numbers with Four Distinct Prime Factors

Parama Dutta, Manjil P. Saikia

Published 2019-06-18Version 1

For a positive integer $n$, if $\sigma(n)$ denotes the sum of the positive divisors of $n$, then $n$ is called a deficient perfect number if $\sigma(n)=2n-d$ for some positive divisor $d$ of $n$. In this paper, we prove some results about odd deficient perfect numbers with four distinct prime factors.

Comments: 11 pages, preprint version (journal version may differ). To appear in Asian-European Journal of Mathematics
Categories: math.NT
Subjects: 11A25, 11A41, 11B99
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