Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question
Suppose that neither 215 nor 543 are quadratic residues modulo p for some odd prime number p. A. If x2 215 (mod p) has a solution, set a = 1. Otherwise, set a = 2. If there is not enough information, set a = = 3. B. If x² = 215 543 (mod p) has a solution, set b = 1. Otherwise, set b = 2. If there is not enough information, set b = 3. C. If 2 543 (mod 2p) has a solution, set c Enter the digits abc below. = 1. Otherwise, set c = 2. If there is not enough information, set c = 3.
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Transcribed Image Text:Suppose that neither 215 nor 543 are quadratic residues modulo p for some odd prime number p. A. If x2 215 (mod p) has a solution, set a = 1. Otherwise, set a = 2. If there is not enough information, set a = = 3. B. If x² = 215 543 (mod p) has a solution, set b = 1. Otherwise, set b = 2. If there is not enough information, set b = 3. C. If 2 543 (mod 2p) has a solution, set c Enter the digits abc below. = 1. Otherwise, set c = 2. If there is not enough information, set c = 3.
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