On twin primes associated with the Hawkins random sieve
Number Theory
2012-11-06 v3 Probability
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 Wunderlich [Acta Arith. 26 (1974), 59--81]. We here extend this to k \geq 2 and generalize it to all l-tuples of Hawkins primes.
Keywords
Cite
@article{arxiv.math/0607196,
title = {On twin primes associated with the Hawkins random sieve},
author = {H. M. Bui and J. P. Keating},
journal= {arXiv preprint arXiv:math/0607196},
year = {2012}
}