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A212222 Integers whose sum of digits in base b is the same for every prime b up to 11. 8

%I #25 May 09 2021 22:11:58

%S 0,1,1386,1387,485353,981435,4423035,14187855,19652536,19652537,

%T 19654636,19654637,23059876,23059877,23063359,23837177,25009516,

%U 25009517,41185278,41185279,41409018,41409019,49650315,50262556,50262557,58622956,58622957,58623315

%N Integers whose sum of digits in base b is the same for every prime b up to 11.

%C This sequence is a subsequence of A135127 for bases 2,3,5,7, which is a subsequence of A135121 for bases 2,3,5, which is a subsequence of A037301 for bases 2,3.

%C Problem: Is the sequence finite?

%H Thomas König, <a href="/A212222/b212222.txt">Table of n, a(n) for n = 1..21843</a> (terms from n = 1..206 by Stanislav Sykora).

%H Thomas König, <a href="/A212222/a212222.f90.txt">Fortran program for calculating terms</a>

%e 1386 = 10101101010_2 = 1220100_3 = 21021_5 = 4020_7 = 1050_11. In each of these bases, the sum of the digits is 6.

%Y Cf. A135127, A135121, A037301.

%K nonn,base

%O 1,3

%A _Stanislav Sykora_, May 06 2012

%E Offset corrected by _Thomas König_, Aug 16 2020

%E Name edited by _Michel Marcus_, Aug 17 2020

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)