On the statistical distribution of prime numbers: A view from where the distribution of prime numbers are not erratic

Research output: Conference contribution

4 Citations (Scopus)

Abstract

The properties of the function 2ab+a+b in the domain of natural numbers are introduced, analyzed, and exhibited to illustrate how these single out all the prime numbers from the full set of odd numbers in contrast that, it is generally said that primes show quite "erratic" distribution. The characterization of odd primes vs. odd non-primes can be done with it among the odd natural numbers as an analogue to the other, well known type of fundamental characterization for irrational and rational numbers among the real numbers. The prime number theorem, twin primes and erratic nature of primes, are also commented upon with respect to selection.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415386
DOIs
Publication statusPublished - júl. 21 2017
EventInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece
Duration: szept. 19 2016szept. 25 2016

Publication series

NameAIP Conference Proceedings
Volume1863
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
CountryGreece
CityRhodes
Period9/19/169/25/16

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Kristyan, S. (2017). On the statistical distribution of prime numbers: A view from where the distribution of prime numbers are not erratic. In T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 [560013] (AIP Conference Proceedings; Vol. 1863). American Institute of Physics Inc.. https://doi.org/10.1063/1.4992696