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

Research output: Chapter in Book/Report/Conference proceedingConference 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
PublisherAmerican Institute of Physics Inc.
Volume1863
ISBN (Electronic)9780735415386
DOIs
Publication statusPublished - Jul 21 2017
EventInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece
Duration: Sep 19 2016Sep 25 2016

Other

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

Keywords

  • erratic nature of primes
  • prime number generator
  • prime number theorem
  • twin primes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Kristyán, S. (2017). On the statistical distribution of prime numbers: A view from where the distribution of prime numbers are not erratic. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 (Vol. 1863). [560013] American Institute of Physics Inc.. https://doi.org/10.1063/1.4992696