Geodesic
Twin prime statistics
Journal of integer sequences, Tome 8 (2005) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Hardy and Littlewood conjectured that the the number of twin primes less than $x$ is asymptotic to $2C_2\int_{2}^{x}\frac{dt}{(\log t)^{2}}$ where $C_2$ is the twin prime constant. This has been shown to give excellent results for $x$ up to about $10^{16}$. This article presents statistics supporting the accuracy of the conjecture up to $10^{600}$.
Classification : 11B05, 11A41
Keywords: prime gaps, twin primes, twin prime constant 
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     author = {Dubner, Harvey},
     title = {Twin prime statistics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_4_a0/}
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Dubner, Harvey. Twin prime statistics. Journal of integer sequences, Tome 8 (2005) no. 4. http://geodesic.mathdoc.fr/item/JIS_2005__8_4_a0/