A057492 Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.

1, 2, 3, 4, 5, 6, 9, 12, 15, 25, 27, 42, 45, 75, 81, 82, 84, 99, 125, 135, 225, 243, 265, 319, 375, 405, 475, 516, 625, 649, 675, 714, 729, 759, 1025, 1125, 1175, 1215, 1722, 1875, 2025, 2187, 3066, 3125, 3375, 3645, 5625, 5754, 5819, 5934, 6075, 6262, 6561

Offset

1,2

Links

Table of n, a(n) for n=1..53.

Mathematica

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

Crossrefs

Sequence in context: A187550 A307818 A358033 * A178715 A018123 A105859

Adjacent sequences: A057489 A057490 A057491 * A057493 A057494 A057495

Keyword

nonn

Author

Robert G. Wilson v, Sep 22 2000

Status

approved