Primitive root bias for twin primes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA20023PM" target="_blank" >RIV/61988987:17310/19:A20023PM - isvavai.cz</a>
Result on the web
<a href="https://www.tandfonline.com/doi/full/10.1080/10586458.2017.1360809" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/10586458.2017.1360809</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10586458.2017.1360809" target="_blank" >10.1080/10586458.2017.1360809</a>

Result language
angličtina
Original language name
Primitive root bias for twin primes
Original language description
Numerical evidence suggests that for only about 2% of pairs p, p + 2 of twin primes, p + 2 has more primitive roots than does p. If this occurs, we say that p is exceptional (there are only two exceptional pairs with 5 <= p <= 10, 000). Assuming the Bateman–Horn conjecture, we prove that at least 0.459% of twin prime pairs are exceptional and at least 65.13% are not exceptional. We also conjecture a precise formula for the proportion of exceptional twin primes.
Czech name
—
Czech description
—

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
<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)