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paper

The Romanov theorem revised

arXiv:0708.2539 · doi:10.4064/aa135-2-3

Abstract

Let P be the set of all primes and P_2=P\cup{p_1p_2: p_1,p_2\in P}$. We prove that the sumset 2^P+P_2={2^p+q: p\in P, q\in P_2} has a positive lower density.

5 pages