■iのn乗(その10)

{0,1,2} (mod3)

2^1=2

2^2=2・2=1

2^3=1・2=2 (n^3=n)

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{0,1,2,3} (mod4)

2^1=2

2^2=2・2=0

2^3=0

3^1=3

3^2=3・3=9=1

3^3=1・3=3 (n^3=n)

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{0,1,2,3,4} (mod5)

2^1=2

2^2=2・2=4

2^3=4・2=3

2^4=3・2=1

2^5=1・2=2 (n^5=n)

3^1=3

3^2=3・3=9=4

3^3=4・3=2

3^4=2・3=1

3^5=1・3=3 (n^5=n)

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{0,1,2,3,4,5} (mod6)

2^1=2

2^2=2・2=4

2^3=4・3=2 (n^3=n)

3^1=3

3^2=3・3=9=1

3^3=1・3=3 (n^3=n)

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

2^5=32=4

2^6=4・2=1

2^7=1・2=2 (n^3=n)

3^4=81=4

3^5=4・3=12=5

3^6=5・3=15=1

3^7=1・3=3 (n^3=n)

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

2^2=4

2^3=8=0

3^2=9=1

3^3=1・3=3 (n^3=n)

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{0,1,2,3,4,5,6,7,8} (mod9)

2^2=4

2^3=8

2^4=8・2=7

2^5=7・2=5

2^6=5・2=1

2^7=1・2=2 (n^7=n)

3^2=9=0

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{0,1,2,3,4,5,6,7,8,9} (mod10)  

2^5=32=2 (n^5=n)

3^4=81=1

3^5=1・3=3 (n^5=n)

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