|Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.2|
Hardy and Littlewood conjectured that the the number of twin primes less than is asymptotic to where is the twin prime constant. This has been shown to give excellent results for up to about . This article presents statistics supporting the accuracy of the conjecture up to .
(Concerned with sequences A001097 A001359 and A006512 .)
Received May 3 2005; revised version received August 25 2005. Published in Journal of Integer Sequences August 29 2005.