Complex architecture of primes and natural numbers

Guillermo García-Pérez, M. Ángeles Serrano, Marian Boguñá

Type: Article

Publication Date: 2014-08-12

Citations: 14

DOI: https://doi.org/10.1103/physreve.90.022806

Abstract

Prime numbers, and their distribution in the sequence of natural numbers, are of interest for fundamental as well as practical reasons. The authors introduce a stochastic model based on a network representation that closely matches some statistical properties of the prime numbers, and that can be useful as a tool in the study of the distribution of primes.

Locations

Physical Review E - View
arXiv (Cornell University) - View - PDF
Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) - View - PDF
PubMed - View
DataCite API - View

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Works Cited by This (24)

Action	Title	Year	Authors
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol
+ PDF Chat	Primes in short intervals.	1985	Helmut Maier
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+	Gaussian unitary ensemble eigenvalues and Riemann<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ζ</mml:mi></mml:math>function zeros: A nonlinear equation for a new statistic	1996	Peter J. Forrester Andrew Odlyzko
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+	On twin primes associated with the Hawkins random sieve	2006	Hung M. Bui Jonathan P. Keating
+ PDF Chat	Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes	1923	G. H. Hardy J. E. Littlewood
+	Multifractality of prime numbers	1989	Marek Wolf
+ PDF Chat	On the order of magnitude of the difference between consecutive prime numbers	1936	Harald Cramér