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A122383
a(n) = m-th positive integer which is coprime to n, where phi(n) is number of positive integers which are <= n and are coprime to n and m = phi(n) if phi(n)|n, else m = n mod phi(n)..
2
1, 1, 1, 3, 1, 5, 1, 7, 4, 3, 1, 11, 1, 3, 13, 15, 1, 17, 1, 9, 16, 3, 1, 23, 6, 3, 13, 9, 1, 19, 1, 31, 20, 3, 16, 35, 1, 3, 23, 19, 1, 19, 1, 7, 38, 3, 1, 47, 8, 23, 29, 7, 1, 53, 19, 17, 32, 3, 1, 43, 1, 3, 46, 63, 22, 19, 1, 7, 38, 61, 1, 71, 1, 3, 64, 7, 20, 19, 1, 39, 40, 3, 1, 41, 27, 3
OFFSET
1,4
MATHEMATICA
f[n_] := Block[{k = 0, m = Mod[n, EulerPhi[n], 1]}, While[m > 0, k++; While[GCD[n, k] > 1, k++ ]; m--; ]; k]; Table[f[n], {n, 90}] (* Ray Chandler, Oct 26 2006 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Oct 19 2006
EXTENSIONS
Edited and extended by Ray Chandler, Oct 26 2006
STATUS
approved