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|
|Pages (from-to)||284 - 296|
|Journal||Journal of Number Theory|
|Publication status||Published - 2006|
Bibliographical notePublisher: Academic Press Inc Elsevier Science
Other identifier: IDS number 076QX