Distribution law for twin primes amongst naturals
  A hypothesis is put forward regarding the function $\pi_2(x)$ which describes the distribution of twin primes in the set of natural numbers. The function $\pi_2(x)$ is tested by evaluation and an empirical $\pi_2^{\ast}(x)$ is arrived at, which is shown to be highly accurate. Several other questions are also addressed. 
Boris B. Benyaminov
math.NT