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arxiv: 1206.6139 · v2 · pith:MOZJUNBWnew · submitted 2012-06-26 · 🧮 math.NT

A Density Version of the Vinogradov Three Primes Theorem

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keywords primesdensitythreebestconstantintegerslargelarger
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We prove that if A is a subset of the primes, and the lower density of A in the primes is larger than 5/8, then all sufficiently large odd positive integers can be written as the sum of three primes in A. The constant 5/8 in this statement is the best possible.

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