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Search: id:A057292
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| A057292 |
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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 + 2^n + 1^n. |
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+0
1
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| 1, 2, 3, 9, 11, 22, 27, 33, 46, 81, 99, 121, 209, 242, 243, 297, 363, 729, 891, 1058, 1089, 1179, 1331, 1702, 2187, 2662, 2673, 3082, 3267, 3993, 6561, 8019, 9801, 11979, 14641, 19683, 20673, 24057, 24334, 25029, 29282, 29403, 30591, 30734
(list; graph; listen)
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OFFSET
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1,2
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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, #, # ] + PowerMod[ 2, #, # ] + 1, # ] == 0 & ]
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CROSSREFS
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Sequence in context: A110350 A057569 A049618 this_sequence A098016 A089645 A088086
Adjacent sequences: A057289 A057290 A057291 this_sequence A057293 A057294 A057295
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 22 2000
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