Use Gauss' Lemma to show that 17 is a quadratic residue module 19.
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6. Use Gauss' Lemma to show that 17 is a quadratic residue module 19.
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Problem #6
Proof:
From Gauss's Lemma, we know that . We also know , so we have . Thus is a quadratic residue of .
Problem #7
Proof:
According to the Quadratic Reciprocity Law, for any two odd primes and , we have
If ...
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