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The ternary Goldbach problem

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
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.

fields

math.NT 2

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem

math.NT · 2026-05-21 · unverdicted · novelty 6.0 · 2 refs

Large odd integers are sums of a prime and two reversed primes or two primes and one reversed prime; almost all even integers are a prime plus reversed prime; all large integers are a reversed prime plus a square-free number.

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Showing 2 of 2 citing papers.

  • The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem math.NT · 2026-05-21 · unverdicted · none · ref 10 · 2 links · internal anchor

    Large odd integers are sums of a prime and two reversed primes or two primes and one reversed prime; almost all even integers are a prime plus reversed prime; all large integers are a reversed prime plus a square-free number.

  • Utilizing Smoothing Techniques to Bound $|\zeta(1+it)|$ math.NT · 2026-07-01 · unverdicted · none · ref 4 · internal anchor

    Improved explicit bounds |ζ(1+it)| ≤ (1/2) log t + 1.57 for t ≥ 3 and |ζ(1+it)| ≤ (1/3) log t + 2 log log t - 1.16 for t ≥ 10^8 using smoothing.