Chen's primes and ternary Goldbach problem

2008/12/24 by Hongze Li, Hao Pan, Li, Hongze +1
Mathematics · #11N36 #11P32 #11P55 #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.0812.4479

openalex publication_date 2008/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that there exists a k₀>0 such that every sufficiently large odd integer n with 3| n can be represented as p₁+p₂+p₃, where p₁,p₂ are Chen's primes and p₃ is a prime with p₃+2 has at most k₀ prime factors.

Citations

• Prime Numbers in Short Intervals and a Generalized Vaughan Identity

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