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{wiki=Jacobi_symbol}

The Jacobi symbol is a mathematical notation that generalizes the Legendre symbol. It is used primarily in number theory, particularly in the context of quadratic residues and the study of prime numbers.


Jacobi symbol

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For odd $n=\prod p_i^{e_i}$, $(a/n)=\prod(a/p_i)^{e_i}$. A value $1$ need not mean that $a$ is a square modulo composite $n$.


Jacobi symbol

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Jacobi symbol

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