Prime numbers and random walks in a square grid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00356528" target="_blank" >RIV/68407700:21230/21:00356528 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1103/PhysRevE.104.054114" target="_blank" >https://doi.org/10.1103/PhysRevE.104.054114</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevE.104.054114" target="_blank" >10.1103/PhysRevE.104.054114</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Prime numbers and random walks in a square grid

Popis výsledku v původním jazyce

In recent years, computer simulations have played a fundamental role in unveiling some of the most intriguing features of prime numbers. In this paper, we define an algorithm for a deterministic walk through a two-dimensional grid, which we refer to as a prime walk. The walk is constructed from a sequence of steps dictated by and dependent on the sequence of the last digits of the primes. Despite the apparent randomness of this generating sequence, the resulting structure-in both two and three dimensions-created by the algorithm presents remarkable properties and regularities in its pattern, which we proceed to analyze in detail.

Název v anglickém jazyce

Prime numbers and random walks in a square grid

Popis výsledku anglicky

In recent years, computer simulations have played a fundamental role in unveiling some of the most intriguing features of prime numbers. In this paper, we define an algorithm for a deterministic walk through a two-dimensional grid, which we refer to as a prime walk. The walk is constructed from a sequence of steps dictated by and dependent on the sequence of the last digits of the primes. Despite the apparent randomness of this generating sequence, the resulting structure-in both two and three dimensions-created by the algorithm presents remarkable properties and regularities in its pattern, which we proceed to analyze in detail.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PHYSICAL REVIEW E

ISSN

2470-0045

e-ISSN

2470-0053

Svazek periodika

104

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

7

Strana od-do

"054114-1"-"054114-7"

Kód UT WoS článku

000720068100009

EID výsledku v databázi Scopus

2-s2.0-85119992731