Theorem 5.3. Let a be an odd integer. If a3 we have (29) a 2 = 1 (mod 2º), so there are no primitive roots mod 2ª.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 14OE
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Theorem 5.3. Let a be an odd integer. If a 3 we have
= 1 (mod 2"),
(29)
a 2
so there are no primitive roots mod 2ª.
Transcribed Image Text:Theorem 5.3. Let a be an odd integer. If a 3 we have = 1 (mod 2"), (29) a 2 so there are no primitive roots mod 2ª.
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