An Algebraic Approach to the Goldbach Conjecture

Jason R. South

Abstract: This paper will give both the necessary and sufficient conditions required to find a counter-example to the Goldbach Conjecture by using an algebraic approach where no knowledge of the gaps between prime numbers is needed. It will then be shown that it is impossible for such a counter-example to exist. To begin, let $2a$ be a counter-example to the Goldbach Conjecture where $a \in \mathbb{N}$, non-prime, and $a > 3$. It will be shown using the closure property of the integers, along with the Fundamental ...

Deleted:Is this paper correct?

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2.5 years ago

Geriatric GenX'er • 0

I haven't had the time to read the paper yet, but generally speaking math.gm authors seem very knowledgeable about proofs which the greater math community had not thought of yet. So I ask: is Theorem 1, indeed the only theorem in the paper, correct?

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last updated by Dustin 125 • posted by Geriatric GenX'er

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An Algebraic Approach to the Goldbach Conjecture