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6. (i) (ii) State the law of quadratic reciprocity. Compute the Legendre symbol 211 863 (iii) why n must be a prime. (iv) Given that 3 is a primitive root modulo n = 105953, explain What is the Legendre symbol /224671

6. (i) (ii) State the law of quadratic reciprocity. Compute the Legendre symbol 211 863 (iii) why n must be a prime. (iv) Given that 3 is a primitive root modulo n = 105953, explain What is the Legendre symbol /224671

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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6. (i) (ii) State the law of quadratic reciprocity. Compute the Legendre symbol (iii) why n must be a prime. (iv) Given that 3 is a primitive root modulo n = 105953, explain 211 863 What is the Legendre symbol Justify your answer. 324671 105953
Transcribed Image Text:6. (i) (ii) State the law of quadratic reciprocity. Compute the Legendre symbol (iii) why n must be a prime. (iv) Given that 3 is a primitive root modulo n = 105953, explain 211 863 What is the Legendre symbol Justify your answer. 324671 105953
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