Prove that if n is odd, then 3 is not a square in GF(5n). In other words, prove that there is no element a that is an element of GF(5n) with a2 = 3.
Prove that if n is odd, then 3 is not a square in GF(5n). In other words, prove that there is no element a that is an element of GF(5n) with a2 = 3.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 39E
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Prove that if n is odd, then 3 is not a square in GF(5n). In other words,
prove that there is no element a that is an element of GF(5n) with a2 = 3.
Please be clear. Use math rules, theorems, etc.
Be legible.
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