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

0, 1, 1386, 1387, 485353, 981435, 4423035, 14187855, 19652536, 19652537, 19654636, 19654637, 23059876, 23059877, 23063359, 23837177, 25009516, 25009517, 41185278, 41185279, 41409018, 41409019, 49650315, 50262556, 50262557, 58622956, 58622957, 58623315

Offset

1,3

Comments

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.

Problem: Is the sequence finite?

Links

Thomas König, Table of n, a(n) for n = 1..21843 (terms from n = 1..206 by Stanislav Sykora).

Thomas König, Fortran program for calculating terms

Example

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

Crossrefs

Cf. A135127, A135121, A037301.

Sequence in context: A317284 A060062 A181991 * A045103 A175695 A286837

Adjacent sequences: A212219 A212220 A212221 * A212223 A212224 A212225

Keyword

nonn,base

Author

Stanislav Sykora, May 06 2012

Extensions

Offset corrected by Thomas König, Aug 16 2020

Name edited by Michel Marcus, Aug 17 2020

Status

approved