Make sure that all your answers are explained carefully. (a) Is 2 a quadratic residue modulo 13? (Explain!) (b) Does the congruence x² = -9 mod 29 have a solution? (Explain!) (c) Evaluate the Legendre symbol 43

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Question 5
Make sure that all your answers are explained carefully.
(a) Is 2 a quadratic residue modulo 13? (Explain!)
(b) Does the congruence x² = -9 mod 29 have a solution? (Explain!)
67
(c) Evaluate the Legendre symbol (7).
43
Transcribed Image Text:Question 5 Make sure that all your answers are explained carefully. (a) Is 2 a quadratic residue modulo 13? (Explain!) (b) Does the congruence x² = -9 mod 29 have a solution? (Explain!) 67 (c) Evaluate the Legendre symbol (7). 43
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