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?

• what are the implication of your theory ? don't write the proof, but at least give the implication or what the improvement to math your theory will bring. – Ahmad May 1 '17 at 19:06
• Even in research mathematics it can be quite difficult to verify if somebody has done something before, often because of notational or terminological differences. And people on the internet may not be very receptive either. You might consider trying to find a local scientist or mathematician who can mentor you and take a look at your work. – Christopher A. Wong May 1 '17 at 19:09
• I'm not sure how exactly it will improve mathematics per se but it has to do with finding the factors that two numbers contain by dividing the two – Samantha Clark May 1 '17 at 19:16
• You could share the result here (without proof, if you like) and people will certainly give their opinions on the originality of it. Cheers! – Matthew Conroy May 1 '17 at 19:35
• If you have proved something, it is a theorem. Sharing that theorem here would greatly improve this conversation. – Matthew Conroy May 5 '17 at 0:52

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.

• Ok, I'll give that a shot. Thanks :) – Samantha Clark May 5 '17 at 0:52

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.

• Are there any real-life examples of high-school students publishing on arxiv?? – Alex May 5 '17 at 1:34
• arxiv.org/help/registerhelp does not indicate that high-school students are not allowed. Also, I found an example: universetoday.com/44259/… . In the comments, there is a link to the arxiv paper. – Nazgand May 5 '17 at 1:43
• In your example, three of the co-authors are actually established scientists; that changes a lot! A new author on arxiv, without co-authors, would need an endorsement - and it is not easy to get endorsed. – Alex May 5 '17 at 1:56
• If I post my theorem on here is the date unchangeable even if edited and such? – Samantha Clark May 5 '17 at 2:01
• I'm not going to get my hopes up that this is something revolutionary and important, I know that's likely not the case and it's probably something that is already known but just in case you know? – Samantha Clark May 5 '17 at 2:04