On primitive divisors of n^2+b

dc.creatorEverest, Graham
dc.creatorHarman, Glyn
dc.date2007-01-08
dc.date.accessioned2026-07-07T07:39:10Z
dc.date.available2026-07-07T07:39:10Z
dc.descriptionWe study primitive divisors of terms of the sequence P_n=n^2+b, for a fixed integer b which is not a negative square. It seems likely that the number of terms with a primitive divisor has a natural density. This seems to be a difficult problem. We survey some results about divisors of this sequence as well as provide upper and lower growth estimates for the number of terms which have a primitive divisor.
dc.description15 page preprint
dc.identifierhttps://arxiv.org/abs/math/0701234
dc.identifierhttp://arxiv.org/abs/math/0701234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121350
dc.subjectNumber Theory
dc.subject11A41, 11B32, 11N36
dc.titleOn primitive divisors of n^2+b
dc.typetext

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