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Is there a program/website that can create and organize lists of mathematical theorems?

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  1. Miraheze is a wiki farm (hosts wikis) for free and with no ads, it also provides custom domains...

    Speaking of wikis, you could just make a wiki. I've used Miraheze in the past, but there are a bunch of other places that'll host a MediaWiki site for you.
  2. Bring your life's work together in one digital workspace. Evernote is the place to collect inspirational ideas, write meaningful words, and move your important projects forward.

    The program closest to what you want is probably going to be a note-taking app, like Evernote or OneNote. These apps have a bunch of features for organizing and searching through your notes.