Solution Found!
Find an integer n > 1 such that an = a for all a in Z6. Do
Chapter 12, Problem 35E(choose chapter or problem)
QUESTION:
Problem 35E
Find an integer n > 1 such that an = a for all a in Z6. Do the same for Z10. Show that no such n exists for Zm when m is divisible by the square of some prime.
Questions & Answers
QUESTION:
Problem 35E
Find an integer n > 1 such that an = a for all a in Z6. Do the same for Z10. Show that no such n exists for Zm when m is divisible by the square of some prime.
ANSWER:
Step 1 of 3
To find an integer such that for all
Let us choose .
Now, in ,
Therefore, the integer such that for allis 3.