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A. Determine if there exists at least one primitive root modulo 137. If so set a = 1 and if not set a = 0. B. Determine if there exists at least one primitive root modulo 113. If so set b = 1 and if not set b = 0. C. Determine if there exists at least one primitive root modulo 107. 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 = 26.

A. Determine if there exists at least one primitive root modulo 137. If so set a = 1 and if not set a = 0. B. Determine if there exists at least one primitive root modulo 113. If so set b = 1 and if not set b = 0. C. Determine if there exists at least one primitive root modulo 107. 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 = 26.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 137. If so set a = 1 and if not set a = 0. B. Determine if there exists at least one primitive root modulo 113. If so set b = 1 and if not set b = 0. C. Determine if there exists at least one primitive root modulo 107. 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 137. If so set a = 1 and if not set a = 0. B. Determine if there exists at least one primitive root modulo 113. If so set b = 1 and if not set b = 0. C. Determine if there exists at least one primitive root modulo 107. 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 = 26.
Transcribed Image Text:Determine the order a Type your answer... = 9 modulo n = 26.
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