Homework Sourse2223 How many elements of order 10 are there in Z30 How many
2.2.23. How many elements of order 10 are there in Z30? How many elements of order 10 are therein Z200000? How many elements of order 10 are there in Z15?
http://homepage.math.uiowa.edu/~goodman/algebrabook.dir/book.2.6.pdf
Solution
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elements of order 10 are there in Z30
from this table we can find the numer of elements for Z30 order 10,.......
The number of elements for Z15 are 4 elements
1,3,5,15
| order | elements | # of elements |
| 30 | 1,7,11,13,17,19,23,29 | 8 |
| 15 | 2,4,8,14,16,22,26,28 | 8 |
| 10 | 3,9,21,27 | 4 |
| 6 | 5,25 | 2 |
| 5 | 6,12,18,24 | 4 |
| 3 | 10,20 | 2 |
| 2 | 15 | 1 |
| 1 | 0 | 1 |
