How to check if my theory has already been made

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I'm in high school so I don't know a whole lot about mathematic theories but I've started working on my own and have got a good proof written up but I'm not sure if this theory is already something that exists or not. Are there any websites I could check or any other ways I could check? My math teacher didn't know of anything like it (he teaches algebra and calculus).

Ok since this question has gotten really clustered I'm going to post a second question with my theorem to simply as if it has already been stated and proven. Here is a link Is this division theorem already a proven idea?

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Here is an algorithm that might work:

  1. Define a computable integer sequence based on your theory/theorem.

  2. Compute several terms of that sequence.

  3. Look up these terms in OEIS

  4. Repeat steps 1-3 several times. If most/all of the sequences are new, then it is likely that you have indeed found some new theory/theorem. If the sequences are already recorded in OEIS, read the relevant comments and references to figure out what exactly you have rediscovered.

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You could publish on Arxiv, then share to ask for feedback.

I would have suggested making a blog post such that the date of the post is verifiable, but Blogger does not work as the post can be edited without showing the edit date, meaning that people could claim you made the post before they published and edited in their results after.