Concepedia

Almost Primes

Almost Primes is a number-theoretic construct in sieve methods denoting a natural number with a bounded number of prime factors, counted with multiplicity, that distinguishes it from primes by allowing a small, explicitly controlled deviation in primality.

53

Publications

2.4K

Citations

71

Authors

59

Institutions

Publications per year

2017–2026

2

Parents

Publications

53

The primes contain arbitrarily long arithmetic progressions

Benjamin Green, Terence Tao · Annals of Mathematics · 2008 · 822 citations · Full text

, , +12

Almost all primes can be quickly certified

S. Goldwasser, Joe Kilian · 1986 · 201 citations · Full text

, , +5

Almost-primes represented by quadratic polynomials

Henryk Iwaniec · Inventiones mathematicae · 1978 · 136 citations

, , +11

K3 surfaces via almost-primes

Keiji Oguiso · Mathematical Research Letters · 2002 · 85 citations · Full text

, , +8

Almost-primes in arithmetic progressions and short intervals

D. R. Heath‐Brown · Mathematical Proceedings of the Cambridge Philosophical Society · 1978 · 84 citations

, , +3

1–5 of 53

Authors

71

  1. JP
    J. Pintz

    Hungarian Academy of Sciences, Hungary

    2 publications · 60 citations

    2

    h-index

  2. DA
    D. A. Goldston

    San Jose State University, United States

    2 publications · 60 citations

    2

    h-index

  3. GL
    Guangshi Lü

    Shandong University, China

    2 publications · 28 citations

    2

    h-index

  4. CY
    C. Y. Yıldırım

    Boğaziçi University, Türkiye

    2 publications · 60 citations

    2

    h-index

  5. TT
    Terence Tao

    University of California, Los Angeles, United States

    2 publications · 858 citations

    2

    h-index

1–5 of 71

Institutions

59

  1. Shandong University

    Jinan, China

    5 h-index

    6 publications

    171 citations

  2. Institute of Mathematics, Academia Sinica

    Taipei, Taiwan

    2 h-index

    3 publications

    42 citations

  3. University of Hong Kong

    Pok Fu Lam, Hong Kong

    2 h-index

    3 publications

    39 citations

  4. Iwate University

    Morioka, Japan

    2 h-index

    2 publications

    98 citations

  5. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    2 publications

    858 citations

  6. Nihon University

    Tokyo, Japan

    2 h-index

    2 publications

    22 citations

  7. University of Oxford

    Oxford, United Kingdom

    2 h-index

    2 publications

    21 citations

  8. University of Cambridge

    Cambridge, United Kingdom

    2 h-index

    2 publications

    858 citations

1–8 of 59

Venues

  1. Acta Arithmetica

    5 publications · 115 citations

    5

    h-index

  2. Journal of Number Theory

    3 publications · 36 citations

    3

    h-index

  3. Communications in Algebra

    3 publications · 120 citations

    3

    h-index

  4. Acta Mathematica Sinica English Series

    3 publications · 84 citations

    3

    h-index

  5. Journal of the London Mathematical Society

    2 publications · 61 citations

    2

    h-index

1–5