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arXiv · 1206.6139

A Density Version of the Vinogradov Three Primes Theorem

Xuancheng Shao
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Abstract

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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Xuancheng Shao. 2012-06-26. A Density Version of the Vinogradov Three Primes Theorem. https://doi.org/10.1215/00127094-2410176

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