I am a self-taught math amateur who came to this site primarily to learn. It is a great place for asking any mathematical question! The site has provided me with an unprecedented ability to gain understanding on what would otherwise be esoteric topics (gamma function, log-convex functions, Stirling approximation, Ramanujan's proof of Betrand's postulate, Jitsuro Nagura's classic 1952 proof, etc.) Thank you very much for this great learning experience! :-)
As a result of all these tips and hints, I've started coming up with what might be elementary mathematical proofs. I assumed that I was making some mistake somewhere and asked the question such as "Where is my mistake..." or "Is this valid...".
Interestingly, all 3 of my proposed proofs have gotten upvotes (8 upvotes for the first, 15 upvotes for the second, and 5 upvotes for a third). Unfortunately, I didn't get any answers such as "this is well known" or "you have a gap in step 2" or "it might be worth developing more". I am wondering on the best way to proceed to get this type of feedback.
Should I at this point create a bounty for the question? Should I pose the question on a different site? Would it be appropriate for me to ask a more directed question to the site such as "Is there anything here that might merit consideration for being posted on arxiv.org?"
Thanks very much,
Update: I have received comments on the third attempted proof. Mistakes were found which invalidate the argument.