Concepedia

Prime Gaps

Prime gaps is the mathematical concept that denotes the difference between consecutive prime numbers, serving as a fundamental measure in the study of the distribution of primes within the sequence of natural numbers.

53

Publications

2.2K

Citations

56

Authors

48

Institutions

Publications per year

2017–2026

3

Variants

Prime Gap

Parents

Publications

53

Bounded gaps between primes

Zhang Yitang · Annals of Mathematics · 2014 · 463 citations · Full text

, , +5

Small gaps between primes

James Maynard · Annals of Mathematics · 2014 · 306 citations · Full text

, , +11

Linear Gaps between Degrees for the Polynomial Calculus Modulo Distinct Primes

Sam Buss, Dima Grigoriev, Russell Impagliazzo et al. · Journal of Computer and System Sciences · 2001 · 81 citations

, , +11

Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim

K. Soundararajan · Bulletin of the American Mathematical Society · 2006 · 78 citations · Full text

, , +6

Long gaps between primes

Ben Green, Sergeĭ Konyagin, James Maynard et al. · Journal of the American Mathematical Society · 2017 · 72 citations · Full text

, , +8

1–5 of 53

Authors

56

  1. DA
    D. A. Goldston

    San Jose State University, United States

    8 publications · 219 citations

    8

    h-index

  2. JP
    J. Pintz

    Hungarian Academy of Sciences, Hungary

    6 publications · 234 citations

    6

    h-index

  3. CY
    C. Y. Yıldırım

    Boğaziçi University, Türkiye

    5 publications · 177 citations

    5

    h-index

  4. SK
    Sergeĭ Konyagin

    Lomonosov Moscow State University, Russia

    4 publications · 147 citations

    4

    h-index

  5. BG
    Ben Green

    University of California, Los Angeles, United States

    4 publications · 147 citations

    4

    h-index

1–5 of 56

Institutions

48

  1. San Jose State University

    San Jose, United States

    6 h-index

    8 publications

    263 citations

  2. Boğaziçi University

    Istanbul, Türkiye

    4 h-index

    6 publications

    242 citations

  3. Hungarian Academy of Sciences

    Budapest, Hungary

    4 h-index

    4 publications

    177 citations

  4. University of California, Los Angeles

    Los Angeles, United States

    4 h-index

    4 publications

    141 citations

  5. Steklov Mathematical Institute

    Moscow, Russia

    3 h-index

    3 publications

    131 citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    3 publications

    131 citations

  7. Alfréd Rényi Institute of Mathematics

    Budapest, Hungary

    3 h-index

    5 publications

    203 citations

  8. University of Arizona

    Tucson, United States

    2 h-index

    2 publications

    102 citations

1–8 of 48

Venues

  1. arXiv (Cornell University)

    Repository · 6 publications · 76 citations

    6

    h-index

  2. Mathematics of Computation

    MCOM · 6 publications · 186 citations

    6

    h-index

  3. Annals of Mathematics

    4 publications · 853 citations

    4

    h-index

  4. Acta Arithmetica

    4 publications · 99 citations

    4

    h-index

  5. Mathematika

    3 publications · 42 citations

    3

    h-index

1–5