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