cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A386541 Lander and Parkin's 1966 counterexample to Euler's sum of powers conjecture: integers a, b, c, d and e, all > 1, such that a^k + b^k + c^k + d^k = e^k, with k = 5.

Original entry on oeis.org

27, 84, 110, 133, 144
Offset: 1

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Author

Paolo Xausa, Jul 25 2025

Keywords

Comments

This is the first counterexample (found in 1966) to Euler's sum of powers conjecture. The conjecture, stated in 1769, claims that at least k k-th powers are needed to sum to a k-th power, for k >= 2. See the Wikipedia article for more information.

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Formula

27^5 + 84^5 + 110^5 + 133^5 = 144^5.
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