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A057492
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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.
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0
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1, 2, 3, 4, 5, 6, 9, 12, 15, 25, 27, 42, 45, 75, 81, 82, 84, 99, 125, 135, 225, 243, 265, 319, 375, 405, 475, 516, 625, 649, 675, 714, 729, 759, 1025, 1125, 1175, 1215, 1722, 1875, 2025, 2187, 3066, 3125, 3375, 3645, 5625, 5754, 5819, 5934, 6075, 6262, 6561
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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, #, # ], # ] == 0 & ]
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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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