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{0,1,2,3,4,5,6}@(mod7)

2^2=4

2^3=4E2=1

2^4=1E2=2 (n^4=n)

2^5=32=4

2^6=4E2=1

2^7=1E2=2 (n^7=n)

3^2=2

3^3=2E3=6

3^4=6E3=4

3^5=4E3=5

3^6=5E3=1

3^7=1E3=3 (n^7=n)

4^1=4

4^2=4E4=2

4^3=2E4=1

4^4=1E4=4 (n^4=n)

4^5=4E4=2

4^6=2E4=1

4^7=1E4=4 (n^7=n)

5^2=4

5^3=4E5=6

5^4=6E5=2

5^5=2E5=3

5^6=3E5=1

5^7=1E5=5 (n^7=n)

6^2=36=1

6^3=1E6=6 (n^3=n)

6^4=6E6=1

6^5=1E6=6 (n^5=n)

6^6=6E6=4

6^7=4E5=6 (n^7=n)

{0,1,2,3,4,5,6,7}@(mod8)

2^2=4

2^3=8=0 (NG)

3^2=9=1

3^3=1E3=3 (n^3=n)

4^2=0 (NG)

5^2=25=1

5^3=1E5=5 (n^3=n)

6^2=36=4

6^3=4E6=0 (NG)

7^2=49=1

7^3=1E7=7 (n^3=n)