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Analytic Number Theory, 2015, Pages 83–92
DOI: https://doi.org/10.1007/978-3-319-22240-0_5
(Mi anthe1)
 

This article is cited in 7 scientific papers (total in 7 papers)

Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers

K. Forda, D. R. Heath-Brownb, S. Konyaginc

a Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL, 61801, USA
b Mathematical Institute, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK
c Steklov Mathematical Institute, 8 Gubkin Street, Moscow, 119991, Russia
Citations (7)
Funding agency Grant number
National Science Foundation DMS-1201442
Engineering and Physical Sciences Research Council EP/K021132X/1
Russian Foundation for Basic Research 14-01-00332
Ministry of Education and Science of the Russian Federation Nsh-3082.2014.1
The first author was supported by NSF grant DMS-1201442. The research of the second author was supported by EPSRC grant EP/K021132X/1. The research of the third author was partially supported by Russian Foundation for Basic Research, Grant 14-01-00332, and by Program Supporting Leading Scientific Schools, Grant Nsh-3082.2014.1.
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/anthe1
  • This publication is cited in the following 7 articles:
    1. Michael Th. Rassias, “Recent Results on Large Gaps Between Primes”, Axioms, 14:3 (2025), 198  crossref
    2. M. R. Gabdullin, A. O. Radomskii, “Prime avoiding numbers is a basis of order 2”, Mat. Sb., 215:5 (2024), 47–70  mathnet  mathnet  crossref
    3. M. R. Gabdullin, A. O. Radomskii, “Prime avoiding numbers form a basis of order 2”, Sb. Math., 215:5 (2024), 612–633  mathnet  mathnet  crossref  crossref
    4. Helmut Maier, Michael Th. Rassias, Springer Optimization and Its Applications, 165, Discrete Mathematics and Applications, 2020, 397  crossref
    5. Artūras Dubickas, “Intervals without primes near elements of linear recurrence sequences”, Int. J. Number Theory, 14:02 (2018), 567  crossref
    6. Helmut Maier, Michael Rassias, “Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers”, Proc. Amer. Math. Soc., 144:8 (2016), 3347  crossref
    7. Tristan Freiberg, Fields Institute Communications, 77, Advances in the Theory of Numbers, 2015, 87  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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