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A229302
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Numbers n such that A031971(6*n) == n (mod 6*n).
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17
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1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 22, 23, 24, 25, 27, 29, 31, 32, 33, 34, 36, 37, 38, 39, 41, 43, 44, 45, 46, 47, 48, 51, 53, 54, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 79, 81, 82, 83, 85, 86, 87, 88, 89, 92, 93
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OFFSET
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1,2
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COMMENTS
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The asymptotic density is in [0.6986, 0.7073].
The numbers k = 1, 2, 6, 42, 1806, 47058, 2214502422, 8490421583559688410706771261086 = A230311 are the only values of k such that the set {n: A031971(k*n) == n (mod k*n)} is nonempty. Its smallest element is n = 1, 1, 1, 1, 1, 5, 5, 39607528021345872635 = A231409. [Comment corrected and expanded by Jonathan Sondow, Dec 10 2013]
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LINKS
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MATHEMATICA
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g[n_] := Mod[Sum[PowerMod[i, n, n], {i, n}], n]; Select[Range[100], g[6*#] == # &]
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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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