An Algebraic Approach to the Goldbach Conjecture

Jason R. South

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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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22 months ago

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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