The Romanov theorem revised
classification
🧮 math.NT
keywords
densitylowerpositiveprimesproverevisedromanovsumset
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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.
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