4. (i) (ii) (iii) Find all primitive roots modulo 29. Hint: You may express them as powers of 2 modulo 29. (iv) Show that 2 and 2+29 = 31 cannot both be primitive roots 841. modulo 29² = Show that 2 is a primitive root modulo 29. How many primitive roots are there modulo 29?
4. (i) (ii) (iii) Find all primitive roots modulo 29. Hint: You may express them as powers of 2 modulo 29. (iv) Show that 2 and 2+29 = 31 cannot both be primitive roots 841. modulo 29² = Show that 2 is a primitive root modulo 29. How many primitive roots are there modulo 29?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:4. (i)
(ii)
(iii)
Show that 2 is a primitive root modulo 29.
How many primitive roots are there modulo 29?
Find all primitive roots modulo 29. Hint: You may express
them as powers of 2 modulo 29.
(iv)
Show that 2 and 2+29= 31 cannot both be primitive roots
modulo 292841.
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