Lagrange's four-square theorem, polynomials, diophantine equations, prime numbers
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Last updated 26 abril 2025

Lagrange’s four-square theorem, in number theory, theorem that every positive integer can be expressed as the sum of the squares of four integers. For example, 23 = 12 + 22 + 32 + 32. The four-square theorem was first proposed by the Greek mathematician Diophantus of Alexandria in his treatise

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MathType - Lagrange's four-square theorem states that every natural number can be represented as the sum of four integer squares. Proved by Joseph Louis #Lagrange in 1770, it can be regarded as

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