Lagrange's four-square theorem, polynomials, diophantine equations, prime numbers

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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
Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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
Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
PDF) On the equation $x_1^2 + x_2^2 + x_3^2 + x_4^2 = N$ with variables such that $x_1 x_2 x_3 x_4 + 1$ is an almost-prime
Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
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Lagrange's four-square theorem, polynomials, diophantine equations, prime  numbers
SOLVED: Theorem 8.35 (Lagrange's Four-Square Theorem) then n can be expressed as the sum If n is a number; of four squares: natural lattice A in 4-space is a set of the
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