IT練習ノート

IT関連で調べたこと(実際は嵌ったこと)を書いています。

フェルマーの小定理(P=11)

フェルマーの小定理 - Wikipedia

n 0 1 2 3 4 5 6 7 8 9 10
n2 0 1 4 9 5 3 3 5 9 4 1
n3 0 1 8 5 9 4 7 2 6 3 10
n4 0 1 5 4 3 9 9 3 4 5 1
n5 0 1 10 1 1 1 10 10 10 1 10
n6 0 1 9 3 4 5 5 4 3 9 1
n7 0 1 7 9 5 3 8 6 2 4 10
n8 0 1 3 5 9 4 4 9 5 3 1
n9 0 1 6 4 3 9 2 8 7 5 10
n10 0 1 1 1 1 1 1 1 1 1 1
n11 0 1 2 3 4 5 6 7 8 9 10
Prelude> mapM_ print
  $ (
    \k -> (
          \(d,nx,px) -> map (
                            \n -> "n^" ++ show n ++ " " ++ show (map ((`rem`d).(^n)) px)
                            ) nx
          ) (k,[2..k],[0..(k-1)])
    ) 11

"n^2 [0,1,4,9,5,3,3,5,9,4,1]"
"n^3 [0,1,8,5,9,4,7,2,6,3,10]"
"n^4 [0,1,5,4,3,9,9,3,4,5,1]"
"n^5 [0,1,10,1,1,1,10,10,10,1,10]"
"n^6 [0,1,9,3,4,5,5,4,3,9,1]"
"n^7 [0,1,7,9,5,3,8,6,2,4,10]"
"n^8 [0,1,3,5,9,4,4,9,5,3,1]"
"n^9 [0,1,6,4,3,9,2,8,7,5,10]"
"n^10 [0,1,1,1,1,1,1,1,1,1,1]"
"n^11 [0,1,2,3,4,5,6,7,8,9,10]"