Numerical analysis approach to twin primes conjecture

This paper provides a better approximation of the functions presented in the article “Numerical Analysis Approach to Twin Primes Conjecture” (see [3]). The new estimates highlight the approximations used in the previous article and the validity of Theorems 1 and 2 through the use of the false hypothesis based on the distribution of primes punctually following the Logarithmic Integral Li(x) (see [4] and [7], pp. 174–176) will be re-evaluated.