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A124333 a(n) = ((n mod phi(n)) +1)th positive integer which is coprime to n, where phi(n) is number of positive integers which are <= n and are coprime to n. 3

%I #11 Oct 11 2019 11:13:21

%S 1,1,2,1,2,1,2,1,5,7,2,1,2,5,14,1,2,1,2,11,17,5,2,1,7,5,14,11,2,23,2,

%T 1,23,5,17,1,2,5,25,21,2,23,2,9,41,5,2,1,9,27,31,9,2,1,21,19,34,5,2,

%U 47,2,5,47,1,23,23,2,9,40,67,2,1,2,5,67,9,23,23,2,41,41,5,2,43,28,5,49,19,2

%N a(n) = ((n mod phi(n)) +1)th positive integer which is coprime to n, where phi(n) is number of positive integers which are <= n and are coprime to n.

%H Vincenzo Librandi, <a href="/A124333/b124333.txt">Table of n, a(n) for n = 1..10000</a>

%t 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, 100}] (* _Ray Chandler_, Oct 26 2006 *)

%Y Cf. A000010, A122383, A124332.

%K nonn

%O 1,3

%A _Leroy Quet_ and _Ray Chandler_, Oct 26 2006

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Last modified July 3 01:13 EDT 2024. Contains 373960 sequences. (Running on oeis4.)