On additive decompositions of the set of primes (Q2365006)

This paper contains an extension of \textit{B. Hornfeck}'s result [Math. Z. 62, 502 (1955; Zbl 0064.28103)] on additive decompositions of the set of primes. In fact, the authors give upper and lower bounds for the counting functions of the sets \(A\) and \(B\), where \(P'=A+B\) and \(P'\) is a set of integers that coincides with the set of primes from some point onwards.