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

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

Pell's equation - Wikipedia

COMPUTATIONAL METHODS IN NUMBER THEORY - Simon Plouffe

PDF) A Hypothetical Upper Bound on the Heights of the Solutions of a Diophantine Equation With a Finite Number of Solutions

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number theory

Introduction To Number Theory - Hill, PDF, Factorization

Lagrange's Four-Square Theorem, PDF, Number Theory

Quaternion algebra

PDF) Generalized Lagrange criteria for certain quadratic Diophantine equations

PDF) Diophantine Equation Of The Form 2 2 2 x Dy z

PDF) Small systems of Diophantine equations which have only very large integer solutions

Table 3 from Extended Lagrange's four-square theorem

PDF) Quarternions and the Four Square Theorem