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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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