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by jltsiren 36 days ago
Erdős problems form a substantial fraction of all mathematical problems that have been explicitly stated but not solved; are sufficiently famous that people care about them; and are sufficiently uninteresting that people have not spent that much effort trying to solve them.

Solving problems people have already stated is a niche activity in mathematical research. More often, people study something they find interesting, try to frame it in a way that can be solved with the tools they have, and then try to come up with a solution. And in the ideal case, both the framing and the solution will be interesting on their own.

2 comments

> and [Erdős problems are] sufficiently uninteresting that people have not spent that much effort trying to solve them.

Note that this is not really true of this problem in particular.

Do we have a list of open problems? Would love to see a chart, where AI solves such problems one by one in the upcoming years.