A057258 Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n.

1, 3, 9, 17, 27, 51, 81, 153, 243, 289, 459, 729, 867, 1003, 1377, 1853, 2187, 2601, 4131, 4913, 5253, 6561, 7803, 12393, 13203, 14739, 15759, 19683, 23409, 34263, 37179, 39609, 40749, 44217, 46089, 47277, 51273, 59049, 61863, 70227, 83521

Offset

1,2

Links

Table of n, a(n) for n=1..41.

Mathematica

Select[ Range[ 10^5 ], Mod[ PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ], # ] == 0 & ]

Crossrefs

Sequence in context: A004621 A014209 A202253 * A018466 A171152 A035107

Adjacent sequences: A057255 A057256 A057257 * A057259 A057260 A057261

Keyword

nonn

Author

Robert G. Wilson v, Sep 21 2000

Status

approved