On twin primes associated with the Hawkins random sieve

H. M. Bui; J. P. Keating

On twin primes associated with the Hawkins random sieve

H. M. Bui
, J. P. Keating

Research output: Contribution to journal › Article (Academic Journal) › peer-review

5 Citations (Scopus)

Abstract

We establish an asymptotic formula for the number of k-difference twin primes associated with the Hawkins random sieve, which is a probabilistic model of the Eratosthenes sieve. The formula for k = 1 was obtained by M.C. Wunderlich [A probabilistic setting for prime number theory, Acta Arith. 26 (1974) 59-81]. We here extend this to k >= 2 and generalize it to all l-tuples of Hawkins primes. (c) 2005 Published by Elsevier Inc.

Translated title of the contribution	On twin primes associated with the Hawkins random sieve
Original language	English
Pages (from-to)	284 - 296
Journal	Journal of Number Theory
Volume	119
Publication status	Published - 2006

Bibliographical note

Publisher: Academic Press Inc Elsevier Science
Other identifier: IDS number 076QX

Handle.net

Persistent link

Cite this

@article{9629823f58bb457b9dfec0ddbad9665e,

title = "On twin primes associated with the Hawkins random sieve",

abstract = "We establish an asymptotic formula for the number of k-difference twin primes associated with the Hawkins random sieve, which is a probabilistic model of the Eratosthenes sieve. The formula for k = 1 was obtained by M.C. Wunderlich [A probabilistic setting for prime number theory, Acta Arith. 26 (1974) 59-81]. We here extend this to k >= 2 and generalize it to all l-tuples of Hawkins primes. (c) 2005 Published by Elsevier Inc.",

author = "Bui, \{H. M.\} and Keating, \{J. P.\}",

note = "Publisher: Academic Press Inc Elsevier Science Other identifier: IDS number 076QX",

year = "2006",

language = "English",

volume = "119",

pages = "284 -- 296",

journal = "Journal of Number Theory",

issn = "1096-1658",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - On twin primes associated with the Hawkins random sieve

AU - Bui, H. M.

AU - Keating, J. P.

N1 - Publisher: Academic Press Inc Elsevier Science Other identifier: IDS number 076QX

PY - 2006

Y1 - 2006

N2 - We establish an asymptotic formula for the number of k-difference twin primes associated with the Hawkins random sieve, which is a probabilistic model of the Eratosthenes sieve. The formula for k = 1 was obtained by M.C. Wunderlich [A probabilistic setting for prime number theory, Acta Arith. 26 (1974) 59-81]. We here extend this to k >= 2 and generalize it to all l-tuples of Hawkins primes. (c) 2005 Published by Elsevier Inc.

AB - We establish an asymptotic formula for the number of k-difference twin primes associated with the Hawkins random sieve, which is a probabilistic model of the Eratosthenes sieve. The formula for k = 1 was obtained by M.C. Wunderlich [A probabilistic setting for prime number theory, Acta Arith. 26 (1974) 59-81]. We here extend this to k >= 2 and generalize it to all l-tuples of Hawkins primes. (c) 2005 Published by Elsevier Inc.

M3 - Article (Academic Journal)

SN - 1096-1658

VL - 119

SP - 284

EP - 296

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

On twin primes associated with the Hawkins random sieve

Abstract

Bibliographical note

Handle.net

Fingerprint

Cite this