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 A057263 Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n. 1
 1, 3, 7, 9, 21, 27, 49, 63, 81, 93, 99, 147, 189, 243, 343, 387, 441, 539, 567, 729, 777, 1029, 1323, 1701, 1953, 1971, 2079, 2183, 2187, 2401, 3087, 3969, 5103, 6561, 7077, 7203, 7533, 8019, 9261, 9423, 11277, 11319, 11907, 15309, 16807, 17739, 19683 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS MATHEMATICA Select[ Range[ 10^5 ], Mod[ PowerMod[ 12, #, # ] + PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ], # ] == 0 & ] With[{c=Range[6, 12]}, Select[Range[20000], Divisible[Total[c^#], #]&]] (* Harvey P. Dale, Feb 29 2012 *) CROSSREFS Sequence in context: A125227 A057286 A056745 * A057493 A003594 A014854 Adjacent sequences:  A057260 A057261 A057262 * A057264 A057265 A057266 KEYWORD nonn AUTHOR Robert G. Wilson v, Sep 22 2000 STATUS approved

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Last modified June 17 19:05 EDT 2019. Contains 324198 sequences. (Running on oeis4.)