This may sound a bit weird but one of my hobbies is mathematics. Well, there is an unsolved problem called the "3X+1" problem that you can find by doing a google search. I have been working on this problem for a few weeks and have come to a very simplistic and logical proof for this problem, but lack the mathematical training to convert the logic into math. I do believe that it is simple enough that any respectable math professor at a university would be able to review it and accept the logic but also help me in coming up with a formalized proof. However, I don't know how to go about with this process. Should I first mail this to myself and have close family review it and sign off in case someone else reviews the proof and tries to claim it as their own? I don't like to be cynical but if this is a real proof than I would like to have some credit to my name for coming up with it. I wouldn't mind a professor of mathematics co-authoring a paper with me and sharing split credit, though. What should I do? What is the process? If I have achieved this, I'd like to use it on my resume for getting into a good graduate school. Thanks.