Define as the quantity appearing in Waring's problem, then Euler conjectured that

where is the floor function.

Define as the quantity appearing in Waring's problem, then Euler conjectured that

where is the floor function.

Weisstein, Eric W. "Euler's Conjecture."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/EulersConjecture.html