I have been looking into the Goldbach Conjecture pretty recently and I have often heard that it would have far-reaching consequences. However, I haven't found many of the actual consequences. I was wondering if you all could supply me with some of these consequences (theorems, etc.).
Goldbach Conjecture Consequences
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number-theory
soft-question
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0The main consequence would be non-existence of counterexample of Goldbach conjecture. If such counterexample exists, it would be astonishing since it is 'against' all the statistics. I would be sad to know that there would be no such amazing 'Goldbach number'. – 2017-03-03