| ▲ | staunton 4 days ago |
| Surely, finding a counterexample would be huge news, a noteworthy advance in mathematics, and thus a great and widely praised achievement. |
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| ▲ | ndsipa_pomu 4 days ago | parent [-] |
| It'd also be an end to the project and would make the conjecture far less interesting. |
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| ▲ | kevinventullo 4 days ago | parent [-] | | IMO it would make the conjecture far more interesting, as it would be a surprise to most people who have thought about the problem. Many natural questions would arise, starting with “Is this the only counterexample?” | | |
| ▲ | ndsipa_pomu 4 days ago | parent [-] | | Possibly, but it would join other false conjectures such as Euler's sum of powers conjecture - posed in 1769 and no counterexample found until 1966. There's only been three primitive counterexamples found so far. (I got that from https://math.stackexchange.com/questions/514/conjectures-tha... which features some other false conjectures that may be of interest to you) | | |
| ▲ | charlieyu1 3 days ago | parent [-] | | Not even the same implications. All empirical evidence strongly support the Goldbach conjecture. Any counterexample would mean an entire field of Mathematics has to be rewritten. |
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