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A Proof of Goldbach's Conjecture

Year: 2026

Type: article

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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.19011557

Author: Kiyoshi, Uchikawa

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7135394476

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