I don't know if this is the appropriate website to ask, so I understand if this post gets closed. I want to explore (and maybe solve) some of the currentlyunsolved problems submitted by readers on The American Mathematical Monthly. The solution submission page has them listed, but I don't know how I can easily access, say, problem 12412, because I don't even know what edition it's in. How can I do this? Thanks.

1$\begingroup$ I understood what you meant, but "currently unsolved" might be a slightly misleading way to describe these problems: my understanding is that when people submit the problems to the AMM, they generally provide solutions to them. $\endgroup$– Sam HopkinsFeb 12 at 4:57

2$\begingroup$ Related: Is there an index for solutions to American Mathematical Monthly problems? $\endgroup$– Timothy ChowFeb 12 at 5:03

2$\begingroup$ You can access issues older than three years ago at jstor.org/journal/amermathmont $\endgroup$– RobPrattFeb 12 at 5:12

$\begingroup$ You may see the Monthly problems in the American Mathematical Monthly (the journal). Your technical library should have it. Members of the Mathematical Association of America are able to get personal online subscriptions to it. $\endgroup$– Gerald EdgarFeb 12 at 12:45
1 Answer
Unfortunately, I don't think there's any particularly easy way to find a specific problem given its index number, but let me summarize some of the comments (and add some of my own) in a community wiki answer.
The American Mathematical Monthly is published electronically on the Taylor & Francis website. You can often get a free firstpage preview of the Problems and Solutions section, so one approach is to manually step through each issue and click on the preview. For example, you mentioned Problem 12412; using this manual method, I found it in Problems and Solutions, Volume 130, Issue 8. In this case, the preview page actually provides the full text of the problem in question.
Even if this method doesn't yield the full text of the problem, it should let you narrow down which issue the problem appears in. After that, it's a matter of tracking down the actual content. Options include:
 Becoming a member of the Mathematical Association of America. I don't know what your status is, but for example, a student membership is $35/year.
 Going to your local college or university library. I don't know how convenient this is for you, but this will likely allow you to get access to the content for free.
 Finding someone who is willing to share the content with you. This might be a math professor at the aforementioned university, or someone you can find online. Here is one website which invites people to share.
For content more than three years old, you should be able to use JSTOR, but it's rare that a problem that old will still be "live."

$\begingroup$ I already have institutional access to the latest issues with Taylor & Francis online (which itself is accessed through MathSciNet), so that's yet another option for people in the future looking at this post! $\endgroup$ Feb 13 at 2:20