I know that there is a result from J Wu that the number of twin primes less than a given magnitude $N$ does not exceed $$\frac{2aCN}{\log^2{N}}$$ Where $C=\prod \frac{p(p-2)}{(p-1)^2}$ and $a$ is something like $3.4$. Is this a direct result of the Selberg Sieve, or is there additional knowledge on the distribution of Twin Primes used?
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1$\begingroup$ mathoverflow.net/questions/58535/… mathoverflow.net/questions/34719/… Wu's paper is hal.archives-ouvertes.fr/hal-00145781/en See also (for Goldbach) journals.impan.pl/cgi-bin/doi?aa131-4-5 PS: Comments have annoyance, when you press Enter. $\endgroup$– v08ltuCommented Jul 8, 2013 at 23:58
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