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Montgomery, H. L.; Vaughan, R. C.

The large sieve. (English) Zbl 0296.10023

Mathematika, Lond. 20, 119-134 (1973).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0296.10023

Cited in 7 Reviews
Cited in 178 Documents

MSC:

11N35 Sieves
11N13 Primes in congruence classes
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Online Encyclopedia of Integer Sequences:

Conjecturally, this is the minimal y such that n primes occur infinitely often among (x+1, ..., x+y), that is, pi(x+y) - pi(x) >= n for infinitely many x.

References:

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[16] DOI: 10.1112/jlms/s2-5.3.567 · Zbl 0243.10038 · doi:10.1112/jlms/s2-5.3.567
[17] DOI: 10.1112/jlms/s2-4.4.638 · Zbl 0234.10032 · doi:10.1112/jlms/s2-4.4.638
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