Lagrange's three square theorem
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Waring's Problem -- from Wolfram MathWorld
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Lagrange's Four-Square Theorem Seen Using Polygons and Lines - Wolfram Demonstrations Project
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Full article: Refinements of Lagrange's Four-Square Theorem
Are there any numbers which cannot be written as a sum of three cubes or sums of four squares? If yes, then how many such numbers exist and what are they?
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