= Simple to state but hard to prove
One of the most beautiful things in mathematics are theorems of conjectures that are very simple to state and understand (e.g. for <K-12>, lower <undergrad> levels), but extremely hard to prove.
This is in contrast to conjectures in certain areas where you'd have to study for a few months just to precisely understand all the definitions and the interest of the problem statement.
Bibliography:
* https://mathoverflow.net/questions/75698/examples-of-seemingly-elementary-problems-that-are-hard-to-solve
* https://www.reddit.com/r/mathematics/comments/klev7b/whats_your_favorite_easy_to_state_and_understand/
* https://mathoverflow.net/questions/42512/awfully-sophisticated-proof-for-simple-facts this one is for proofs for which simpler proofs exist
* https://math.stackexchange.com/questions/415365/it-looks-straightforward-but-actually-it-isnt this one is for "there is some reason it looks easy", whatever that means
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