Prime Curios!: 15365639

15365639
(another Prime Pages' Curiosity)

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In 1769, Euler conjectured that the sum of three fourth powers is never a fourth power. However in 1988, Noam Elkies at Harvard discovered a counterexample: 2682440^4 + 15365639^4 + 18796760^4 = 20615673^4. [Beedassy]

Submitted: 2008-02-04 16:48:56; Last Modified: 2009-05-15 16:10:54.