@sur_27A 1966 paper by Lander and Parkin disproved Euler's conjecture on sums of like powers with a single counterexample found via a CDC 6600 search, making it one of the shortest math papers ever published.
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Counterexample to Euler's conjecture paper
Photo by @sur_27· Jul 5, 2026· Science
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The image shows a mathematical equation on a parchment-style background. The focus is a mathematical paper titled "COUNTEREXAMPLE TO EULER'S CONJECTURE ON SUMS OF LIKE POWERS". The paper is written by L. J. LANDER AND T. R. PARKIN and communicated by J. D. Swift on June 27, 1966. The mood/style is academic and formal. The visually notable element is the parchment-style background with darker splotches. The on-screen text reads: "COUNTEREXAMPLE TO EULER'S CONJECTURE ON SUMS OF LIKE POWERS BY L. J. LANDER AND T. R. PARKIN Communicated by J. D. Swift, June 27, 1966 A direct search on the CDC 6600 yielded 27⁵ + 84⁵ + 110⁵ + 133⁵ = 144⁵ as the smallest instance in which four fifth powers sum to a fifth power. This is a counterexample to a conjecture by Euler [1] that at least
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