Will publishing a paper hinder graduate admissions if errors are discovered? I believe I have developed a formal proof for an unsolved conjecture in mathematics; however, I'm not yet enrolled in university and I know maybe one individual who could check my proof.

Should I still submit this paper to a journal and risk it being published and then later errors being discovered? Furthermore, would an incorrect paper hinder admission to graduate schools? It's not that I would be upset about being wrong, it certainly wouldn't be the first time I was ever wrong. I just wouldn't want those errors to ruin my future. I wouldn't be concerned if the paper was denied by the journal because the error wouldn't be publicized.

I'm confident that my method is rigorous and proves the conjecture. However, I know the likelihood of errors being present is almost certain.

The overall question is: If I submit a paper to a journal and it is published, but later errors are found, will that hinder admissions to graduate school; or is that just a risk one takes in sharing research?

Note: I don't expect that the proof is wrong, I truly believe that it is correct. However, I must consider the event that it is proven incorrect.
Have the one you know check it out. If it has merit, they'll know who can look at it closer, and tell you what to do.

It is very probable that your proof s wrong, or contains holes. Even so, you learn something (and learned by working it out).