login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A014951 Positive integers k such that k divides 12^k - 1. 13

%I #25 Jun 08 2022 15:36:59

%S 1,11,121,253,1331,2783,5819,11891,14641,30613,64009,130801,133837,

%T 161051,273493,336743,558877,704099,768361,849299,1438811,1472207,

%U 1771561,3008423,3078251,3544453,3704173,6147647,6290339,7745089

%N Positive integers k such that k divides 12^k - 1.

%C Also, the integers k such that k divides s(k), where s(1)=1 and s(j) = s(j-1) + j*12^(j-1).

%C From _Alexander Adamchuk_, May 16 2010: (Start)

%C 11 divides a(n) for n > 1.

%C All powers of 11 are terms.

%C Prime divisors of a(n) in order of appearance: {11, 23, 47, 3037, 7019, 2663, 5171, 47917, 12973, ...}. (End)

%H Seiichi Manyama, <a href="/A014951/b014951.txt">Table of n, a(n) for n = 1..100</a>

%t Join[{1},Select[Range[775*10^4],PowerMod[12,#,#]==1&]] (* _Harvey P. Dale_, Jun 08 2022 *)

%Y Cf. A015961.

%K nonn

%O 1,2

%A _Olivier GĂ©rard_

%E a(11)-a(30) from _Alexander Adamchuk_, May 16 2010

%E Edited by _Max Alekseyev_, May 20 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)