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A057493
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Numbers n such that n | 11^n + 10^n.
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2
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1, 3, 7, 9, 21, 27, 49, 63, 81, 111, 147, 171, 189, 203, 243, 333, 343, 441, 513, 567, 609, 729, 777, 999, 1029, 1143, 1197, 1323, 1421, 1539, 1701, 1791, 1827, 2187, 2331, 2401, 2943, 2997, 3087, 3249, 3429, 3591, 3969, 4107, 4263, 4617, 5103, 5373
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OFFSET
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1,2
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COMMENTS
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Every term other than 1 is divisible by 3 or 7.
If m and n are in the sequence, then so is m*n. (End)
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LINKS
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MAPLE
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select(t -> (10 &^ t + 11 &^ t mod t = 0), [seq(i, i=1..10000, 2)]); # Robert Israel, Feb 23 2017
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MATHEMATICA
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Select[ Range[ 10000 ], Mod[ PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ], # ] == 0 & ]
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PROG
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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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