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Search: id:A057289
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| A057289 |
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Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n. |
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+0
1
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| 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 243, 345, 375, 405, 625, 675, 729, 1025, 1125, 1215, 1863, 1875, 2025, 2187, 2375, 2875, 3125, 3375, 3645, 4395, 5625, 5875, 6075, 6561, 8145, 9225, 9375, 10125, 10935, 14015, 14523, 15525, 15625
(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[ 12, #, # ] + PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ] + PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ], # ] == 0 & ]
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CROSSREFS
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Sequence in context: A015965 A056741 A057235 this_sequence A056754 A003593 A120027
Adjacent sequences: A057286 A057287 A057288 this_sequence A057290 A057291 A057292
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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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