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.