On twin primes associated with the Hawkins random sieve

Details On twin primes associated with the Hawkins random sieve On twin primes associated with the Hawkins random sieve

2006-07-07

arxiv.org/abs/math/0607196v3

J. Number Theory 119 (2006), 284--296

Mathematics

Number Theory

Scientific paper

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.

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