A Proof of Goldbach's Conjecture

The Goldbach’s conjecture, which states that every even number greater than 6 can be expressed as the sum of two odd prime numbers, is widely known as one of mathematical problems that have not yet been proved in a long time. In this paper, the author clarifies the set of composite numbers that is the exact complement set of the perfect set of prime numbers, and proves the Goldbach’s conjecture based on operations among the elements of the composite numbers.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-14
DOI
https://doi.org/10.5281/zenodo.19011558
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
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article

A Proof of Goldbach's Conjecture

Uchikawa Kiyoshi
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

A Proof of Goldbach's Conjecture

Uchikawa Kiyoshi
article en

Abstract

The Goldbach’s conjecture, which states that every even number greater than 6 can be expressed as the sum of two odd prime numbers, is widely known as one of mathematical problems that have not yet been proved in a long time. In this paper, the author clarifies the set of composite numbers that is the exact complement set of the perfect set of prime numbers, and proves the Goldbach’s conjecture based on operations among the elements of the composite numbers.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 19%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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A Proof of Goldbach's Conjecture — Uchikawa Kiyoshi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS