The ternary Goldbach problem

2015/01/22 by H. A. Helfgott, Harald Andres Helfgott, Helfgott, Harald Andres
Mathematics · #11P32 #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11P32

paper · pdf · doi:10.48550/arxiv.1501.05438

317(+x) pages, 3 figures. This effectively supersedes the author's earlier preprints [arXiv:1205.5252, arXiv:1305.2897, arXiv:1312.7748] giving the first version of the proof. Some typos have been corrected

openalex publication_date 2015/01/22 · arxiv created 2015/01/27 · arxiv updated 2015/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The ternary Goldbach conjecture (or three-prime conjecture) states that every odd number greater than 5 can be written as the sum of three primes. The purpose of this book is to give the first proof of the conjecture, in full.

Citations

• Minor arcs for Goldbach's problem
• Major arcs for Goldbach's problem
• The ternary Goldbach conjecture is true

Related

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• The ternary Goldbach conjecture is true
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• On Goldbach's Conjecture
• Minor arcs for Goldbach's problem