What does this research mean for the field?

Goldbach's conjecture is proven to be true for every even number greater than 6. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

The aim is to prove Goldbach's conjecture about expressing even numbers as a sum of primes.

March 16, 2026Open Access

A Proof of Goldbach's Conjecture

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Key Points

The aim is to prove Goldbach's conjecture about expressing even numbers as a sum of primes.
Clarified the relationship between composite numbers and prime numbers
Used operations among composite numbers to derive results
Successfully proved that every even number greater than 6 can be expressed as the sum of two odd prime numbers
Provided a clear framework for understanding the relationship between primes and composites

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.

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Uchikawa Kiyoshi

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A Proof of Goldbach's Conjecture

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Abstract

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