On sums of sparse prime subsets

2012/06/12 by Zhen Cui, Cui, Zhen, Hongze Li +3 · 1 citation
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1206.2473

openalex publication_date 2012/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For arbitrary c₀>0, if A is a subset of the primes less than x with cardinality δx (log x)^-1 with δ≥ (log x)^-c₀, then there exists a positive constant c such that the cardinality of A+A is larger than c δx (loglog x)^-1.

Cited by

• Problems 66 and 67 on sums of residue classes and primes of András Sárközy's collection of unsolved problems

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