Legendre's three-square theorem
Sign in to savetheorem that every nonnegative integer is the sum of three perfect squares unless it is a product of a power of four and a number that is 7 modulo 8
In the Vinony graph
Within Vinony's link graph, Legendre's three-square theorem is referenced by 17 other articles, and connects out to Fermat's theorem on sums of two squares, mathematics and Carl Friedrich Gauss.
It sits within the topics Additive number theory, Squares in number theory and Theorems in number theory.
Its subject is documented across 13 Wikipedia language editions.
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- theorem
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- WikiProject Mathematics
- studied by
- number theory
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Connections
Fermat's theorem on sums of two squares
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mathematics
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Carl Friedrich Gauss
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International Standard Book Number
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natural number
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Pythagorean theorem
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integer
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Pierre de Fermat
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square root
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Augustin-Louis Cauchy
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Johann Peter Gustav Lejeune Dirichlet
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Adrien-Marie Legendre
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modular arithmetic
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vertex
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triangular number
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if and only if
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On-Line Encyclopedia of Integer Sequences
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Edmund Landau
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quadratic form
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Waring's problem
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