Artin twin primes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10471948" target="_blank" >RIV/00216208:11320/23:10471948 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=DcLB3oL2d4" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=DcLB3oL2d4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnt.2022.10.006" target="_blank" >10.1016/j.jnt.2022.10.006</a>

Result language
angličtina
Original language name
Artin twin primes
Original language description
We say that a prime number p is an Artin prime for g if g mod p generates the group (Z/pZ)x. For appropriately chosen integers d and g, we present a conjecture for the asymptotic number 7rd,g(x) of primes p <= x such that both p and p + d are Artin primes for g. In particular, we identify a class of pairs (d, g) for which 7rd,g(x) = 0. Our results suggest that the distribution of Artin prime pairs, amongst the ordinary prime pairs, is largely governed by a Poisson binomial distribution.(c) 2022 Elsevier Inc. All rights reserved.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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