A045583 Numbers k that divide 10^k + 2^k.

1, 2, 3, 4, 8, 9, 16, 21, 26, 27, 32, 63, 64, 81, 128, 136, 147, 189, 243, 256, 338, 441, 512, 567, 609, 729, 903, 1024, 1029, 1252, 1323, 1378, 1701, 1827, 2048, 2187, 2312, 2667, 2709, 3087, 3969, 4096, 4263, 4394, 4401, 5103, 5481, 6321, 6561, 7203, 8001

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..1500

Mathematica

Select[Range[8100], Divisible[10^#+2^#, #]&]  (* Harvey P. Dale, Apr 02 2011 *)
Select[Range[8001], Divisible[PowerMod[2, #, #] + PowerMod[10, #, #], #] &] (* Amiram Eldar, Oct 23 2021 *)

Crossrefs

Cf. A050621.

Sequence in context: A373725 A212255 A078829 * A045608 A068317 A074311

Adjacent sequences: A045580 A045581 A045582 * A045584 A045585 A045586

Keyword

nonn

Author

David W. Wilson

Status

approved