Strong Twin Prime Conjecture

Conjecture
It is conjectured that the number of twin primes less than or equal to $N \in \N$ is asymptotically equal to:


 * $2 C_2 \ds \int_2^N \dfrac {\d x} {\paren {\ln x}^2} = \dfrac {2 C_2 N} {\paren {\ln N}^2}$

The above is true only if the Twin Prime Conjecture holds.