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Similarity in the statistics of prime numbers. (English) Zbl 0969.11500

Summary: We present numerical evidence for regularities in the distribution of gaps between primes when these are divided into congruence families (in Dirichlet’s classification). The histograms for the distribution of gaps of families are scale invariant.

MSC:

11A41 Primes
11K99 Probabilistic theory: distribution modulo \(1\); metric theory of algorithms
Full Text: DOI

References:

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