View More View Less
  • 1 Alfréd Rényi Institute of Mathematics, 13–15 Reáltanoda u., 1053 Budapest, Hungary
Full access


We record an implication between a recent result due to Li, Pratt and Shakan and large gaps between arithmetic progressions.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • [1]

    Ford, K., Green, B., Konyagin, S., Maynard, J. and Tao, T., Long gaps between primes, J. Amer. Math. Soc., 31 (1) (2018), 65105.

  • [2]

    Ford, K., Green, B., Konyagin, S. and Tao, T., Large gaps between consecutive prime numbers, Ann. of Math., (2016), 935974.

  • [3]

    Kaptan, Deniz A. Large gaps between primes in arithmetic progressions, Not intended far publication, available at arXiv arXiv: 1809.09579, 2018.

    • Search Google Scholar
    • Export Citation
  • [4]

    Li, J., Pratt, K. and Shakan, G., A lower bound for the least prime in an arithmetic progression, Q. J. Math., 68 (3) (2017), 729758.

    • Search Google Scholar
    • Export Citation
  • [5]

    Maynard, J. Large gaps between primes, Ann. of Math., 183 (3) (2016), 915933.

  • [6]

    Maynard, J., Small gaps between primes, Ann. of Math., (2015), 383413.

  • [7]

    Maynard, J., The twin prime conjecture, Japanese Journal of Mathematics, (2019), 132.

  • [8]

    Pomerance, C., A note on the least prime in an arithmetic progression, J. Number Theory, 12 (2) (1980), 218223.

  • [9]

    Zaccagnini, A., A note on large gaps between consecutive primes in arithmetic progressions, J. Number Theory, 42 (1) (1992), 100102.

    • Search Google Scholar
    • Export Citation

  • Impact Factor (2018): 0.309
  • Mathematics (miscellaneous) SJR Quartile Score (2018): Q3/li>
  • Scimago Journal Rank (2018): 0.253
  • SJR Hirsch-Index (2018): 21

Language: English, French, German

Founded in 1966
Publication: One volume of four issues annually
Publication Programme: 2020. Vol. 57.
Indexing and Abstracting Services:

  • CompuMath Citation Index
  • Mathematical Reviews
  • Referativnyi Zhurnal/li>
  • Research Alert
  • Science Citation Index Expanded (SciSearch)/li>
  • The ISI Alerting Services


Subscribers can access the electronic version of every printed article.

Senior editors

Editor(s)-in-Chief: Pálfy Péter Pál

Managing Editor(s): Sági, Gábor

Editorial Board

  • Biró, András (Number theory)
  • Csáki, Endre (Probability theory and stochastic processes, Statistics)
  • Domokos, Mátyás (Algebra (Ring theory, Invariant theory))
  • Győri, Ervin (Graph and hypergraph theory, Extremal combinatorics, Designs and configurations)
  • O. H. Katona, Gyula (Combinatorics)
  • Márki, László (Algebra (Semigroup theory, Category theory, Ring theory))
  • Némethi, András (Algebraic geometry, Analytic spaces, Analysis on manifolds)
  • Pach, János (Combinatorics, Discrete and computational geometry)
  • Rásonyi, Miklós (Probability theory and stochastic processes, Financial mathematics)
  • Révész, Szilárd Gy. (Analysis (Approximation theory, Potential theory, Harmonic analysis, Functional analysis))
  • Ruzsa, Imre Z. (Number theory)
  • Soukup, Lajos (General topology, Set theory, Model theory, Algebraic logic, Measure and integration)
  • Stipsicz, András (Low dimensional topology and knot theory, Manifolds and cell complexes, Differential topology)
  • Szász, Domokos (Dynamical systems and ergodic theory, Mechanics of particles and systems)
  • Tóth, Géza (Combinatorial geometry)

Gábor Sági
Address: P.O. Box 127, H–1364 Budapest, Hungary
Phone: (36 1) 483 8344 ---- Fax: (36 1) 483 8333

The author instruction is available in PDF.

Please, download the file from HERE

Manuscript submission: HERE