Cyclicity Flashcards
1
Q
Cyclicity of exponents
How many cycles does 2 have?
A
4
2, 4, 8, 6
2
Q
Cyclicity of exponents
How many cycles does 3 have?
A
4
3, 9, 7, 1
3
Q
Cyclicity of exponents
How many cycles does 4 have?
A
2
2^2=4 so sqrt(cycles of 2)=2
4, 6
4
Q
Cyclicity of exponents
How many cycles does 5 have?
A
1
5
5
Q
Cyclicity of exponents
How many cycles does 6 have?
A
1
6
6
Q
Cyclicity of exponents
How many cycles does 7 have?
A
4
7, 9, 3, 1
7
Q
Cyclicity of exponents
How many cycles does 8 have?
A
4
8, 4, 2, 6
8
Q
Cyclicity of exponents
How many cycles does 9 have?
A
2
3^2=9 so sqrt(cycles of 3)=2
9, 1
9
Q
In cyclicity: What are the units digits for powers of 2?
A
- 2^1 - 2
- 2^2 - 4
- 2^3 - 8
- 2^4 - 6
10
Q
In cyclicity: What are the units digits for powers of 3?
A
- 3^1 - 3
- 3^2 - 9
- 3^3 - 7
- 3^4 - 1
11
Q
In cyclicity: What are the units digits for powers of 7?
A
- 7^1 - 7
- 7^2 - 9
- 7^3 - 3
- 7^4 - 1
12
Q
In cyclicity: What are the units digits for powers of 8?
A
- 8^1 - 8
- 8^2 - 4
- 8^3 - 2
- 8^4 - 6
13
Q
A
