A. Determine if there exists at least one primitive root modulo 104. If so set a = 1 and if not set a = 0. B. Determine if there exists at least one primitive root modulo 173. If so set b = 1 and if not set b = 0. C. Determine if there exists at least one primitive root modulo 125. If so set c = 1 and if not set c = 0. Enter the digits abc below. (For example, if all of them have primitive roots, the a = b = c = 1 and you should enter 111.) Type your answer... Determine the order a Type your answer... 9 modulo n = 40.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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Need help with these two Intro to Elementary Number Theory Homework Problems.

 

A. Determine if there exists at least one primitive root modulo 104. If so set a = 1 and if not set a = 0.
B. Determine if there exists at least one primitive root modulo 173. If so set b = 1 and if not set b = 0.
C. Determine if there exists at least one primitive root modulo 125. If so set c = 1 and if not set c = 0.
Enter the digits abc below. (For example, if all of them have primitive roots, the a = b = c = 1 and you should enter 111.)
Type your answer...
Transcribed Image Text:A. Determine if there exists at least one primitive root modulo 104. If so set a = 1 and if not set a = 0. B. Determine if there exists at least one primitive root modulo 173. If so set b = 1 and if not set b = 0. C. Determine if there exists at least one primitive root modulo 125. If so set c = 1 and if not set c = 0. Enter the digits abc below. (For example, if all of them have primitive roots, the a = b = c = 1 and you should enter 111.) Type your answer...
Determine the order a
Type your answer...
9 modulo n = 40.
Transcribed Image Text:Determine the order a Type your answer... 9 modulo n = 40.
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