### 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 language | English |
---|---|

Title of host publication | International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 |

Editors | Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras |

Publisher | American Institute of Physics Inc. |

ISBN (Electronic) | 9780735415386 |

DOIs | |

Publication status | Published - júl. 21 2017 |

Event | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece Duration: szept. 19 2016 → szept. 25 2016 |

### Publication series

Name | AIP Conference Proceedings |
---|---|

Volume | 1863 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 |
---|---|

Country | Greece |

City | Rhodes |

Period | 9/19/16 → 9/25/16 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'On the statistical distribution of prime numbers: A view from where the distribution of prime numbers are not erratic'. Together they form a unique fingerprint.

## Cite this

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