%0 Journal Article %T On twin primes associated with the Hawkins random sieve %A H. M. Bui %A J. P. Keating %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0607196v3