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Search: id:A100766
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| A100766 |
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Numbers n for which the values of the Moebius function (A008683) and the Mertens function (A002321) are both 0. |
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+0
1
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| 40, 150, 160, 164, 232, 236, 332, 333, 356, 363, 364, 404, 405, 408, 414, 420, 423, 424, 425, 428, 608, 636, 637, 796, 812, 824, 825, 850, 884, 896, 904, 916, 920, 1014, 1220, 1256, 1280, 1292, 1300, 1336, 1492, 1519, 1520, 1521, 1524, 1525, 1528, 1532, 1544
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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This sequence is a subset of A100306, Numbers n for which the values of the Moebius function and the Mertens function agree, and, in a different way, a subset of A028442, zeros of the Mertens function. There are no prime numbers in this sequence.
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LINKS
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PrimeFan, Esoteric Integer Sequences
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MATHEMATICA
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(* If not already defined *) If[Names["Mertens"] == {}, Mertens[x_] := Plus @@ MoebiusMu[Range[1, x]]]; Select[Range[2500], MoebiusMu[ # ] == 0 && Mertens[ # ] == 0 &]
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CROSSREFS
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Adjacent sequences: A100763 A100764 A100765 this_sequence A100767 A100768 A100769
Sequence in context: A044969 A044372 A044753 this_sequence A135848 A089548 A117216
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KEYWORD
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nonn
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AUTHOR
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Alonso Delarte (alonso.delarte(AT)gmail.com), Jan 03 2005
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