A057288 Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n.

1, 5, 13, 25, 65, 125, 169, 221, 235, 325, 625, 845, 1625, 1675, 2125, 2197, 2825, 3125, 4225, 7943, 8125, 10985, 14365, 15625, 16705, 21125, 28561, 31375, 40625, 54925, 78125, 82303

Offset

1,2

Links

Table of n, a(n) for n=1..32.

Mathematica

Select[ Range[ 10^5 ], Mod[ PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ] + PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ] + PowerMod[ 2, #, # ], # ] == 0 & ]

Crossrefs

Sequence in context: A026373 A066885 A147151 * A107466 A098480 A018394

Adjacent sequences: A057285 A057286 A057287 * A057289 A057290 A057291

Keyword

nonn

Author

Robert G. Wilson v, Sep 22 2000

Status

approved