On the almost Goldbach problem of Linnik
In 1953 \textit{Yu. V. Linnik} [Mat. Sb., Nov. Ser. 32 (74), 3-60 (1953; Zbl 0051.03402)] showed that every large even integer can be written as a sum of two odd primes and a bounded number of powers of 2. Assuming the generalized Riemann hypothesis, the authors show that, for \(k\geq 200\), every even \(N\geq N_k\) can be written as a sum of two odd primes and at most \(k\) powers of 2. They follow the original argument of Linnik, combined with a careful treatment of the numerical constant.
scientific article; zbMATH DE number 1370108
scientific article