Quadratic Residues
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The theory of quadratic residues concerned the fact if, for some 
and an odd prime 
, if there exists some 
such that ![\[x^2\equiv a \pmod{p}.\]](http://latex.artofproblemsolving.com/9/7/8/978981bfd29bdc67790cb939581b9b88597db291.png)
See also
Legendre Representation of Quadratic Residues
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