Expected gaps between prime numbers

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dc.creatorHolt, Fred B.
dc.date2007-06-06
dc.date.accessioned2026-07-07T08:04:22Z
dc.date.available2026-07-07T08:04:22Z
dc.descriptionWe study the gaps between consecutive prime numbers directly through Eratosthenes sieve. Using elementary methods, we identify a recursive relation for these gaps and for specific sequences of consecutive gaps, known as constellations. Using this recursion we can estimate the numbers of a gap or of a constellation that occur between a prime and its square. This recursion also has explicit implications for open questions about gaps between prime numbers, including three questions posed by Erdös and Turán.
dc.description21 pages, LaTeX, 2 pdf figures
dc.identifierhttps://arxiv.org/abs/0706.0889
dc.identifierhttp://arxiv.org/abs/0706.0889
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129934
dc.subjectNumber Theory
dc.subject11N05; 11A41; 11A07
dc.titleExpected gaps between prime numbers
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