English

On Goldbach's Conjecture

General Mathematics 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0209232,
  title  = {On Goldbach's Conjecture},
  author = {Jailton C. Ferreira},
  journal= {arXiv preprint arXiv:math/0209232},
  year   = {2007}
}

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5 pages