1. Calculate the following Legendre symbols (i) using Euler's criterion, Jacobi symbols: 3 (a) 17 15 (b) 23

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1. Calculate the following Legendre symbols (i) using Euler's criterion, and (ii) using quadratic reciprocity for
Jacobi symbols:
(이) (주)
17
15
(b)
23
11
(c)
733
(d)
67
67
(e)
101
(f) Which method is easier to implement by hand?
Transcribed Image Text:1. Calculate the following Legendre symbols (i) using Euler's criterion, and (ii) using quadratic reciprocity for Jacobi symbols: (이) (주) 17 15 (b) 23 11 (c) 733 (d) 67 67 (e) 101 (f) Which method is easier to implement by hand?
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