Euler's Conjecture

Define g(k) as the quantity appearing in Waring's problem, then Euler conjectured that


where |_x_| is the floor function.

See also

Euler's Graeco-Roman Squares Conjecture, Euler Quartic Conjecture, Euler's Sum of Powers Conjecture, Waring's Problem

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Cite this as:

Weisstein, Eric W. "Euler's Conjecture." From MathWorld--A Wolfram Web Resource.

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