A density version of Vinogradov's three primes theorem
Hongze Li, Hao Pan
Abstract
Let P denote the set of all primes. Suppose that P1, P2, P3 are three subsets of P with the sum of their lower densities relative to P is greater than 2. We prove that for sufficiently large odd integer n, there exist pi∈ Pi such that n=p1+p2+p3.
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