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“Passion projects” in math? Hello, Has anyone here who was…

“Passion projects” in math?

Hello,
Has anyone here who was in mathematics but left been able to continue working on a result? I am graduating with my masters soon but I have little hope of being accepted into a PhD. though there has been this result I’ve been working on my own and I want to continue it. If I am silly and it’s all wrong so be it, but in the unlikely case I think my argument is correct, what would I even do from there?
How would I know if it’s really even True? And if it is true and hasn’t been proven yet, is it worth trying to publish?
#science
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