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On Goldbach's Conjecture

Jailton C. Ferreira
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Abstract

It is shown that if every odd integer $n > 5$ is the sum of three primes, then every even integer $n > 2$ is the sum of two primes. A conditional proof of Goldbach's conjecture, based on Cramér's conjecture, is presented. Theoretical and experimental results available on Goldbach's conjecture allow that a less restrictive conjecture than Cramér's conjecture be used in the conditional proof. A basic result of the Maier's paper on Cramér's model is criticized.

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Jailton C. Ferreira. 2002-09-18. On Goldbach's Conjecture. https://arxiv.org/abs/math/0209232

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