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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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[Number Theory] How do you solve this question? Short and typed answered preferred. Thanks!
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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