Law of Quadratic Reciprocity/Historical Note

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Historical Note on Law of Quadratic Reciprocity

The Law of Quadratic Reciprocity was investigated by Leonhard Paul Euler who stated it imperfectly and failed to find a proof.

Adrien-Marie Legendre first stated it correctly, but his attempted $\text {1785}$ proof of it was incorrect.

Carl Friedrich Gauss first became aware of this result, and found a correct proof. He wrote this up in $\text {1798}$ and published it in his Disquisitiones Arithmeticae in $\text {1801}$.

The proof as given here was found by Ferdinand Eisenstein and published in $\text {1844}$.