a) For an odd prime p, prove that the quadratic residues of p are congruent mod p to the integers 1^(2),2^(2),3^(2), ....., ((p-1)/2)^(2). b) Verify that the quadratic residue of 17 is 1,2,4,8,9,13,15,16. I need the proof handwritten.
a) For an odd prime p, prove that the quadratic residues of p are congruent mod p to the integers 1^(2),2^(2),3^(2), ....., ((p-1)/2)^(2). b) Verify that the quadratic residue of 17 is 1,2,4,8,9,13,15,16. I need the proof handwritten.
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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a) For an odd prime p, prove that the quadratic residues of p are congruent mod p to the integers 1^(2),2^(2),3^(2), ....., ((p-1)/2)^(2). b) Verify that the quadratic residue of 17 is 1,2,4,8,9,13,15,16. I need the proof handwritten.
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