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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.

11A41Elementary prime number theory
11K99Probabilistic theory
Full Text: DOI
[1] G.L. Dirichlet, Abh. d. Akad. Wiss. Berlin (Math. Abh., 45--81), 1837, Berlin, Prussia.
[2] Zagier, D.: Math. intelligencer. 0, 7 (1977)
[3] Rivest, R. L.; Shamir, A.; Adleman, L. M.: Comm. ACM. 21, 120 (1978)
[4] Schroeder, M. R.: Number theory in science and communication. (1990) · Zbl 0781.11043
[5] Berry, M. V.; Keating, J. P.: SIAM rev.. 41, 236 (1999)
[6] Hardy, G. H.; Littlewood, J. E.: Acta math.. 44, 1 (1923)
[7] M. Wolf, Physica A 274 (1999) 149 and references therein.
[8] S.R. Dahmen, S.D. Prado, T. Stuermer-Daitx, in preparation.