(Q15940470)

English

Legendre's three-square theorem

theorem 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

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defining formula

\forall n\in \mathbb {N} \colon (\exists (a,b,c)\in \mathbb {Z} ^{3}\colon n=a^{2}+b^{2}+c^{2})\iff n\not \in \{4^{a}(8b+7)\colon a,b\in \mathbb {N} \}

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WikiProject Mathematics

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Wikipedia(10 entries)

arwiki مبرهنة المربعات الثلاث للوجوندر
dewiki Drei-Quadrate-Satz
enwiki Legendre's three-square theorem
eswiki Teorema de los tres cuadrados de Legendre
frwiki Théorème des trois carrés
huwiki Háromnégyzetszám-tétel
kmwiki ទ្រឹស្តីបទការ៉េបី
ruwiki Теорема Лежандра о трёх квадратах
svwiki Legendres trekvadraterssats
ukwiki Теорема Лежандра про три квадрати

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