English

The ternary Goldbach problem

Number Theory 2015-01-29 v2

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.

Keywords

Cite

@article{arxiv.1501.05438,
  title  = {The ternary Goldbach problem},
  author = {Harald Andres Helfgott},
  journal= {arXiv preprint arXiv:1501.05438},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T08:09:32.307Z