Source: http://www.openculture.com/2015/04/shortest-known-paper-in-a-serious-math-journal.html

Euler’s conjecture, a theory proposed by Leonhard Euler in 1769, hung in there for 200 years. Then L.J. Lander and T.R. Parkin came along in 1966, and debunked the conjecture in two swift sentences. Their article — which is now open access and can be downloaded here — appeared in the *Bulletin of the American Mathematical Society*.

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*Posted by John Quintanilla on April 21, 2016*

https://meangreenmath.com/2016/04/21/the-shortest-known-paper-published-in-a-serious-math-journal/