Information Entropy and Correlations in Prime Numbers

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dc.creatorKumar, Pradeep
dc.creatorIvanov, Plamen Ch.
dc.creatorStanley, H. Eugene
dc.date2003-03-06
dc.date2003-04-08
dc.date.accessioned2026-07-07T02:50:02Z
dc.date.available2026-07-07T02:50:02Z
dc.descriptionThe difference between two consecutive prime numbers is called the distance between the primes. We study the statistical properties of the distances and their increments (the difference between two consecutive distances) for a sequence comprising the first $5\times 10^7$ prime numbers. We find that the histogram of the increments follows an exponential distribution with superposed periodic behavior of period three, similar to previously-reported period six oscillations for the distances.
dc.description6 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0303110
dc.identifierhttp://arxiv.org/abs/cond-mat/0303110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20982
dc.subjectStatistical Mechanics
dc.titleInformation Entropy and Correlations in Prime Numbers
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