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A quadratic residue ( mod n ) is any number congruent to a square ( mod n ).
A quadratic nonresidue ( mod n ) is any number which is not congruent to a square ( mod n ).
The adjective " quadratic " can be dropped if the context makes it clear that it is implied.
When working modulo primes ( as in this article ), it is usual to treat zero as a special case.
By doing so, the following statements become true:

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