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 A057286 Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n. 1
 1, 3, 7, 9, 21, 27, 49, 63, 69, 81, 119, 147, 189, 243, 343, 441, 567, 729, 1029, 1269, 1323, 1701, 2187, 2401, 3087, 3357, 3969, 5103, 5271, 5831, 6561, 7203, 9261, 9639, 11907, 15309, 16767, 16807, 19683, 20727, 21609, 24451, 27783, 30429, 35077 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..45. MATHEMATICA Select[ Range[ 10^5 ], Mod[ PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ] + PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ], # ] == 0 & ] Select[Range[36000], Mod[Total[Table[PowerMod[n, #, #], {n, 3, 11}]], #] == 0&] (* This program is essentially equivalent to the above program. *) (* Harvey P. Dale, Jun 09 2021 *) CROSSREFS Sequence in context: A014959 A057233 A125227 * A056745 A057263 A057493 Adjacent sequences: A057283 A057284 A057285 * A057287 A057288 A057289 KEYWORD nonn AUTHOR Robert G. Wilson v, Sep 22 2000 STATUS approved

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Last modified July 20 05:30 EDT 2024. Contains 374441 sequences. (Running on oeis4.)