A057261 Numbers n such that n | 8^n + 7^n + 6^n + 5^n + 4^n + 3^n.

1, 3, 9, 11, 27, 33, 39, 81, 99, 117, 121, 243, 297, 351, 363, 429, 507, 729, 873, 891, 1053, 1089, 1287, 1331, 1521, 1833, 2187, 2511, 2673, 3081, 3159, 3267, 3861, 3993, 4491, 4563, 4719, 4779, 5577, 6413, 6561, 6591, 8019, 9243, 9477, 9801

Offset

1,2

Links

Table of n, a(n) for n=1..46.

Mathematica

Select[ Range[ 10^4 ], Mod[ PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ] + PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ], # ] == 0 & ]
Select[Range[10000], Divisible[Total[Range[3, 8]^#], #]&] (* Harvey P. Dale, Apr 21 2014 *)

Crossrefs

Sequence in context: A107757 A191180 A191128 * A003597 A018705 A018381

Adjacent sequences: A057258 A057259 A057260 * A057262 A057263 A057264

Keyword

nonn

Author

Robert G. Wilson v, Sep 21 2000

Status

approved