Does Ten Have a Friend?

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dc.creatorWard, Jeffrey
dc.date2008-06-05
dc.date2008-06-06
dc.date.accessioned2026-07-07T09:42:51Z
dc.date.available2026-07-07T09:42:51Z
dc.descriptionAny positive integer $n$ other than 10 with abundancy index 9/5 must be a square with at least 6 distinct prime factors, the smallest being 5. Further, at least one of the prime factors must be congruent to 1 modulo 3 and appear with an exponent congruent to 2 modulo 6 in the prime power factorization of $n$.
dc.identifierhttps://arxiv.org/abs/0806.1001
dc.identifierhttp://arxiv.org/abs/0806.1001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162340
dc.subjectNumber Theory
dc.subjectGeneral Mathematics
dc.subject11A25
dc.titleDoes Ten Have a Friend?
dc.typetext

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