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A057286
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Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n.
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1
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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
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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