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Hardy, G.H. and Littlewood, J.E. (1923) Some Problems of “Partitio Numerorum” III. On the Expression of a Number as a Sum of Primes. Acta Mathematica, 44, 1-70.
https://doi.org/10.1007/BF02403921

has been cited by the following article:

• TITLE: The Integral of the Inverse of the Primes

  AUTHORS: Pal Doroszlai, Horacio Keller

  KEYWORDS: Density of Primes, Prime-Number-Formula, Complete-Prime-Number-Formula, Goldbach’s Conjecture, Twin Primes, K-Tuples of Primes, Primes as Continuum

  JOURNAL NAME: Advances in Pure Mathematics, Vol.13 No.5, May 30, 2023

  ABSTRACT: The present paper gives the proof of the set of primes as continuum and evaluates the analytical formula for the integral of the inverse of the primes over the distance. First it starts with the density of the primes, shortly recapitulates the prime-number-formula and the complete-prime-number-formula, the proof of the set of primes as continuum. The theoretical evaluation is followed in annexes by numerical evaluation of the theoretical results and of different constants, which represent inherent properties of the set of primes.