First Supplement to Law of Quadratic Reciprocity/Examples/3
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Examples of First Supplement to Law of Quadratic Reciprocity
- $-1$ is a quadratic non-residue of $3$.
From Quadratic Residues of 3:
We also have that:
- $3 = 4 \times 1 - 1$
and so is not of the form $4 n + 1$.