The paper consisted of just two succinct sentences and it rebutted a mathematical precedent known as Euler’s conjecture, a theory proposed by Leonhard Euler in 1769.

shortest research paper

Euler proposed that at least n nth powers are required for the value of “n” greater than “2” to provide a sum that is itself an “nth” power. Then in 1966, two mathematicians L.J. Lander and T.R. Parkin came along and swiftly overturned his claim with a counterexample:  275 + 845 + 1105 + 1335 = 1445

The paper was published in The Bulletin Of The American Mathematical Society in 1966. It was the shortest-known paper published in a serious math journal.

Sources: Open Culture, Wolfram MathWorld