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A057491 Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n. 0
1, 2, 4, 10, 17, 50, 62, 221, 250, 253, 289, 290, 316, 697, 764, 1250, 1819, 3590, 4913, 6250, 31250, 54043, 55913, 63869, 83521, 98923, 156250, 231250, 530893, 781250, 987110 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..31.

MATHEMATICA

Select[ Range[ 10^6 ], Mod[ PowerMod[ 12, #, # ] + PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ], # ] == 0 & ]

Select[Range[1000000], Divisible[Total[PowerMod[Range[5, 12], #, #]], #]&] (* Harvey P. Dale, Mar 28 2012 *)

CROSSREFS

Sequence in context: A152231 A285939 A034455 * A005541 A045955 A182248

Adjacent sequences:  A057488 A057489 A057490 * A057492 A057493 A057494

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Sep 22 2000

STATUS

approved

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Last modified November 16 17:04 EST 2019. Contains 329201 sequences. (Running on oeis4.)