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Euler's sum of powers conjecture

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Euler's sum of powers conjecture

disproved mathematical conjecture

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About Euler's sum of powers conjecture

In number theory, Euler's conjecture is a disproved conjecture related to Fermat's Last Theorem. It was presented by Leonhard Euler in 1778 to the Academy of Sciences of St. Petersburg. It states that for all integers n and k greater than 1, if the sum of n many kth powers of positive integers is itself a kth power, then n is greater than or equal to k:

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