4. Given that 5 is a primitive root of 17, find the smallest positive integer x such that 6* = 10 (mod 17). 5. Given that 8 has order 12 modulo 37, find all integers between 1 and 37 that have order 12 (mod 37). 6. Given that 2 is a primitive root of 25, find all primitive roots of 25 between 1 and 25.

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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4. Given that 5 is a primitive root of 17, find the smallest positive integer
x such that 6" = 10 (mod 17).
5. Given that 8 has order 12 modulo 37, find all integers between 1 and
37 that have order 12 (mod 37).
6. Given that 2 is a primitive root of 25, find all primitive roots of 25
between 1 and 25.
Transcribed Image Text:4. Given that 5 is a primitive root of 17, find the smallest positive integer x such that 6" = 10 (mod 17). 5. Given that 8 has order 12 modulo 37, find all integers between 1 and 37 that have order 12 (mod 37). 6. Given that 2 is a primitive root of 25, find all primitive roots of 25 between 1 and 25.
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