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Results tagged with big-list
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user 41139
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
68
votes
What are some noteworthy "mic-drop" moments in math?
I'll just let below (famous) 1966 article from the Bulletin of the American Mathematical Society speak for itself...
COUNTEREXAMPLE TO EULER'S CONJECTURE ON SUMS OF LIKE POWERS
BY L. J. LANDER …
16
votes
Taking a theorem as a definition and proving the original definition as a theorem
When I was teaching elementary geometry in high school in Holland 10 years ago, the concept of equivalent definitions was actually part of the curriculum. There the examples were more down to earth: y …
13
votes
Examples of major theorems with very hard proofs that have not dramatically improved over time
I'm a bit surprised not to see the Weil conjectures here since their proof by Deligne is so often mentioned as a primary example of something Very Hard. Is there a more simple recent proof that I have …
11
votes
17 camels trick
This seems like a good place to advertise LSpice's great answer (spread out over a series of comments) to my earlier MO question Where does the really nice '8-dimensional' description of the $E_7$ roo …