6. Use Gauss' Lemma to show that 17 is a quadratic residue module 19.
Please see attached.© BrainMass Inc. brainmass.com March 4, 2021, 6:19 pm ad1c9bdddf
Please see the attachment.
From Gauss's Lemma, we know that . We also know , so we have . Thus is a quadratic residue of .
According to the Quadratic Reciprocity Law, for any two odd primes and , we have
This solution is comprised of a detailed explanation to use Gauss' Lemma to show that 17 is a quadratic residue module 19.