**Update**: Please restrict your answers to "tweets" that give more than just the statement of the result, and give also the essence (or a useful hint) of the argument/novelty.

I am looking for examples that the essence of a notable mathematical development fits a tweet (140 characters in English, no fancy formulas).

Background and motivation: This question was motivated by some discussion with Lior Pachter and Dave Bacon (over Twitter). Going over my own papers and blog posts I found very few such examples. (I give one answer.) There were also few developments that I do not know how to tweet their essence but I feel that a good tweet can be made by a person with deep understanding of the matter.

I think that a good list of answers can serve as a good educational window for some developments and areas in mathematics and it won't be overly big.

At most 140 characters per answer, single link is permitted. Tweeting one's own result is encouraged.

**Update:** I learned quite a few things, and Noam's tweet that I accepted is mind-boggling.

I have discovered a truly remarkable proof of this theorem which this Tweet is too small to contain.$\endgroup$ – Glorfindel Apr 26 '17 at 8:26statementis in 140 characters; that would be too broad: most paper titles fit in them. It asks for a result whose essence is tweetable: given the tweet alone, a mathematician with good knowledge of the field can fill in the details and complete a proof. So I am going to downvote almost all of them. $\endgroup$ – Federico Poloni Apr 26 '17 at 10:16exactlyin the question it is written that the tweet should be such that "a mathematician with good knowledge of the field can fill in the details and complete a proof"? Honestly, I do not think that yourpersonal interpretationof the locution "essence of a notable mathematical development" should be taken as a rule here. $\endgroup$ – Francesco Polizzi Apr 26 '17 at 10:21essenceof a mathematical result?" I myself lean toward Federico's interpretation- pithifying a theorem's statement does not necessarily clarify or illuminate the ideas at play. $\endgroup$ – Neal Apr 26 '17 at 12:5223more comments