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http -> https (the question was bumped anyway)
Martin Sleziak
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Euler's sum of powers conjecture, if a sum of $k$th powers is a $k$th power, then the sum has at least $k$ terms.

Proposed by Euler in 1769. Counterexample for $k=5$ found in 1966, for $k=4$ in 1986.

Gerald Edgar
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