What are the effects of the Goldbach conjecture?

AI Thread Summary
The Goldbach conjecture, if proven true, would transition into the Goldbach Theorem, but its proof would not significantly alter existing mathematical frameworks. The primary impact would be the recognition and fame for the mathematician who proves it, potentially leading to prestigious awards like the Fields Medal. The conjecture's resolution would likely redirect mathematicians' focus to other unsolved problems. Ultimately, the conjecture's proof would have minimal practical implications beyond the realm of theoretical mathematics. The discussion highlights the conjecture's role as a longstanding challenge in the field.
AlexVGheo
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The question in the title really says it all...

I was wondering, what relies on the Goldbach conjecture being true? What would happen if it was proven correct?
 
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1. Nothing.
2. It would become the Goldbach Theorem.
3. A lot of math guys would have to find some other way to spend their time.
 
Ok, so what would happen to whoever proved it?
 
He would become a famous mathematician. He might even win the fields medal.
 
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Ok, thank you =)
 
If he had $5.00 in his pocket, he could get some coffee at any Starbucks.
 
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