On a divisibility problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA20023QI" target="_blank" >RIV/61988987:17310/19:A20023QI - isvavai.cz</a>
Result on the web
<a href="https://articles.math.cas.cz/10.21136/MB.2018.0058-17" target="_blank" >https://articles.math.cas.cz/10.21136/MB.2018.0058-17</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/MB.2018.0058-17" target="_blank" >10.21136/MB.2018.0058-17</a>
Alternative languages
Result language
angličtina
Original language name
On a divisibility problem
Original language description
Let p(1), p(2), ... be the sequence of all primes in ascending order. Using explicit estimates from the prime number theory, we show that if k >= 5, then ((pk+1) -1)! vertical bar (1/2 ((pk+1) - 1)) ! (pk)!, which improves a previous result of the second author.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
MATHEMATICA BOHEMICA
ISSN
0862-7959
e-ISSN
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Volume of the periodical
144
Issue of the periodical within the volume
2
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
11
Pages from-to
125-135
UT code for WoS article
000471232700002
EID of the result in the Scopus database
2-s2.0-85069535058