Definition:Legendre Symbol/Also known as
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Legendre Symbol: Also known as
The Legendre symbol for fixed prime $p$ is also known as the quadratic character modulo $p$.
However, that term is defined on $\mathsf{Pr} \infty \mathsf{fWiki}$ from this as simply whether an integer $a$ is a quadratic residue of $p$ or not, without assigning the result to an integer variable.
Hence Legendre symbol will be used throughout.