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Establish that if a is an odd integer, then 2" = 1 (mod 2" +2) for any n 2 1.

Establish that if a is an odd integer, then 2" = 1 (mod 2" +2) for any n 2 1.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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Establish that if a is an odd integer, then 2" aʻ = 1 (mod 2" *2) for any n 2 1.
Transcribed Image Text:Establish that if a is an odd integer, then 2" aʻ = 1 (mod 2" *2) for any n 2 1.
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