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Article citations


Dahmen, S.R., Prado, S.D. and Stuermer-Daitx, T. (2001) Similarity in the Statistics of Prime Numbers. Physica A, 296, 523-528.

has been cited by the following article:

  • TITLE: A Power Law Governing Prime Gaps

    AUTHORS: Raul Matsushita, Sergio Da Silva

    KEYWORDS: Prime Numbers, Power Laws, Prime Gaps, k-Tuple Conjecture, Number Theory

    JOURNAL NAME: Open Access Library Journal, Vol.3 No.9, September 2, 2016

    ABSTRACT: A prime gap is the difference between two successive prime numbers. Prime gaps are casually thought to occur randomly. However, the “k-tuple conjecture” suggests that prime gaps are non-random by estimating how often pairs, triples and larger groupings of primes will appear. The k-tuple conjecture is yet to be proven, but a very recent work presents a result that contributes to a confirmation of thek-tuple conjecture by finding unexpected biases in the distribution of consecutive primes. Here, we present another contribution to confirmation of the k-tuple conjecture based on statistical physics. The pattern we find comes in the form of a power law in the distribution of prime gaps. We find that prime gaps are proportional to the inverse of the chance of a number to be prime.