On twin primes associated with the Hawkins random sieve

被引：4

作者：

Bui, H. M. ^{[1
]}

Keating, J. P. ^{[1
]}

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

来源：

JOURNAL OF NUMBER THEORY | 2006年 / 119卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/j.jnt.2005.11.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：284 / 296

页数：13

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