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arXiv:1501.05438math.NT

The ternary Goldbach problem

Harald Andres Helfgott

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.

arXiv 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
Journal reference
DOI
Subjects
math.NTNumber Theory

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  1. The 'else' keyword is probably a literal translation from German (2020) 1 comment

    • We often write "otherwise" in mathematics: https://arxiv.org/html/1501.05438v2#:~:text=otherwise,-%2C https://arxiv.org/html/1302.5008v3#:~:text=otherwise https://arxiv.org/html/1501.05438v2#:~:text=otherwise,-%2E In fact, I think that's the most common alternative, not "else".

      jordighView on HNParent context

  2. Untouchable number 1 comment

    • > why not numbers that can only be produced by adding 3 primes together? Goldbach's weak conjecture: Every odd number greater than 5 can be expressed as the sum of three primes. First proposed in 1742, and proven in 2013 [0]. The original proposal considered even numbers as…

      gizmo686View on HNParent context

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