Waring's problem
In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers. Waring's problem was proposed in 1770 by Edward Waring, after whom it is named. Its affirmative answer, known as the Hilbert–Waring theorem, was provided by Hilbert in 1909. Waring's problem has its own Mathematics Subject Classification, 11P05, "Waring's problem and variants".
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10,000143 (number)19 (number)223 (number)23 (number)270 (number)37 (number)73 (number)Additive basisAdditive number theoryAlgebraic number theoryAnalytic number theoryAnatoly KaratsubaArthur WieferichAubrey J. KempnerC. P. RamanujamChen JingrunClosing the Gap: The Quest to Understand Prime NumbersDavid HilbertEdward WaringErdős–Tetali theoremErich KamkeEuler's conjectureEuler's conjecture (Waring's problem)Fermat polygonal number theoremFloor and ceiling functionsFourth powerG. H. HardyGeorge Leo WatsonGlossary of arithmetic and diophantine geometryGoldbach's conjectureHardy–Littlewood circle methodHilbert-Waring theoremHilbert–Waring theoremHua LuogengIvan M. NivenJean-Marc DeshouillersJohn Edensor LittlewoodJohn_Horton_ConwayLagrange's four-square theorem
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Waring's problem
In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers. Waring's problem was proposed in 1770 by Edward Waring, after whom it is named. Its affirmative answer, known as the Hilbert–Waring theorem, was provided by Hilbert in 1909. Waring's problem has its own Mathematics Subject Classification, 11P05, "Waring's problem and variants".
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Das Waringsche Problem ist ein ...... Problem gilt heute als gelöst.
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El problema de Waring es un fa ...... oblema de Waring y variantes."
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En la teoria dels nombres, el ...... com Teorema de Hilbert-Waring.
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En théorie des nombres, le pro ...... es k-ièmes d'entiers positifs.
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Het probleem van Waring is een ...... -machten of 19 vierde-machten.
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In matematica, in particolare ...... aring's problem and variants".
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In number theory, Waring's pro ...... aring's problem and variants".
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Na teoria dos números, o probl ...... fornecida por Hilbert em 1909.
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W roku 1770 (XVIII w.) Edward ...... co najwyżej ośmiu sześcianów).
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Warings problem formulerades a ...... tat ger inte funktionsvärdena.
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title
Waring problem
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Das Waringsche Problem ist ein ...... Problem gilt heute als gelöst.
@de
El problema de Waring es un fa ...... oblema de Waring y variantes."
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En la teoria dels nombres, el ...... sent n depenent de k. (∀k∈ℕ)».
@ca
En théorie des nombres, le pro ...... était pas pour autant résolue.
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Het probleem van Waring is een ...... -machten of 19 vierde-machten.
@nl
In matematica, in particolare ...... aring's problem and variants".
@it
In number theory, Waring's pro ...... aring's problem and variants".
@en
Na teoria dos números, o probl ...... fornecida por Hilbert em 1909.
@pt
W roku 1770 (XVIII w.) Edward ...... 16673, 33203, 66190, 132055...
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Warings problem formulerades a ...... +23+13+13+13+13+13+13+13) osv.
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Probleem van Waring
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Problem Waringa
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Problema de Waring
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Problema de Waring
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Problema de Waring
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Problema di Waring
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Problème de Waring
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Waring's problem
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Warings problem
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Waringsches Problem
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