A057259 Numbers n such that n | 10^n + 9^n + 8^n + 7^n + 6^n + 5^n.

1, 3, 5, 9, 15, 25, 27, 39, 45, 75, 81, 117, 125, 135, 195, 225, 243, 297, 351, 375, 405, 507, 585, 625, 645, 675, 729, 975, 1053, 1125, 1215, 1287, 1521, 1755, 1875, 2025, 2187, 2277, 2535, 2925, 3125, 3159, 3375, 3645, 4257, 4563, 4875, 5085, 5265, 5577

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..125

Mathematica

Select[ Range[ 10^4 ], Mod[ PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ], # ] == 0 & ]
Select[Range[6000], Divisible[Total[Range[5, 10]^#], #]&] (* Harvey P. Dale, Nov 16 2014 *)

Crossrefs

Sequence in context: A147493 A178961 A147509 * A045599 A045604 A057251

Adjacent sequences: A057256 A057257 A057258 * A057260 A057261 A057262

Keyword

nonn

Author

Robert G. Wilson v, Sep 21 2000

Status

approved