Dahmen, S. R.; Prado, S. D.; Stuermer-Daitx, T. Similarity in the statistics of prime numbers. (English) Zbl 0969.11500 Physica A 296, No. 3-4, 523-528 (2001). 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. Cited in 4 Documents MSC: 11A41 Primes 11K99 Probabilistic theory: distribution modulo \(1\); metric theory of algorithms Keywords:gap distribution; congruence families; scale invariance PDFBibTeX XMLCite \textit{S. R. Dahmen} et al., Physica A 296, No. 3--4, 523--528 (2001; Zbl 0969.11500) Full Text: DOI References: [1] G.L. Dirichlet, Abh. d. Akad. Wiss. Berlin (Math. Abh., 45-81), 1837, Berlin, Prussia.; 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), Springer: Springer Berlin · 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.; M. Wolf, Physica A 274 (1999) 149 and references therein. [8] S.R. Dahmen, S.D. Prado, T. Stuermer-Daitx, in preparation.; S.R. Dahmen, S.D. Prado, T. Stuermer-Daitx, in preparation. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.