What's so interesting about squared numbers? Lagrange's Four Square Theorem
Por um escritor misterioso
Last updated 28 março 2025

Pick a number and try to express it as the sum of four squared numbers. Well, that is Lagrange's four square theorem.

Square number - Wikipedia

Sum of four Squares

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Square Number -- from Wolfram MathWorld

Lagrange's Four-Square Theorem Seen Using Polygons and Lines
Lagrange's four-square theorem - Wikipedia

Explain Why No Number From This List Is The Sum Of Three Squares: 7, 15, 23, 31, 39, 47, 55, …, by Sundip Tailor, Math Simplified
Waring's Problem -- from Wolfram MathWorld
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

Table 3 from Extended Lagrange's four-square theorem

Sum of Squares Theorems Brilliant Math & Science Wiki
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