Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Conference Papers Conference Paper Faculty Publications- Conference Papers Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On near-perfect numbers with five prime factors Subject The topic of the resource divisor sum function; Near-perfect numbers; perfect numbers Description An account of the resource Let n be a positive integer and ?(n) the sum of all the positive divisors of n. We call n a near-perfect number with redundant divisor d if ?(n) = 2n + d. Let n be an odd near-perfect number of the form n = pa11 ? pa22 ? pa33 ? pa44 ? pa55 where pis are odd primes and ais (1 ? i ? 5) are positive integers. In this article, we prove that 3 | n and one of 5, 7, 11 | n. We also show that there exists no odd near-perfect number when n = 3a1 ? 7a2 ? pa33 ? pa44 ? pa55 with p3 ? {17, 19} and when n = 3a1 ? 11a2 ? pa33 ? pa44 ? pa55 Mathematical and Computational Sciences - Proceedings of the ICRTMPCS International Conference 2023.All rights reserved. Creator An entity primarily responsible for making the resource Jeba F.S.; Roy A.; Saikia M.P. Source A related resource from which the described resource is derived De Gruyter Proceedings in Mathematics, pp. 207-220. Publisher An entity responsible for making the resource available Walter de Gruyter GmbH Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1515/9783111313634-016" target="_blank" rel="noreferrer noopener">https://doi.org/10.1515/9783111313634-016</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85216221756&amp;doi=10.1515%2F9783111313634-016&amp;partnerID=40&amp;md5=5bde6ba289c8e745b5ffb27aeb9d9b1b" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85216221756&amp;doi=10.1515%2f9783111313634-016&amp;partnerID=40&amp;md5=5bde6ba289c8e745b5ffb27aeb9d9b1b</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 29424801; ISBN: 978-311130437-3 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Conference paper Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Jeba F.S., Department of Mathematics, CHRIST (Deemed to be University), Kanmanike, Kumbalgodu, Mysore Road, Karnataka, Bengaluru, 560074, India; Roy A., Department of Sciences and Humanities, CHRIST (Deemed to be University), Kanmanike, Kumbalgodu, Mysore Road, Karnataka, Bengaluru, 560074, India; Saikia M.P., Mathematical and Physical Sciences division, School of Arts and Sciences, Ahmedabad University, Commerce Six Roads, Navrangpura, Gujarat, Ahmedabad, 380009, India