

A100765


Numbers n for which the values of the Moebius function (A008683) and the Mertens function (A002321) are both 1.


5



3, 41, 59, 66, 102, 151, 165, 167, 233, 239, 255, 354, 357, 359, 367, 402, 406, 409, 421, 426, 429, 609, 638, 782, 786, 797, 826, 854, 885, 887, 890, 894, 897, 907, 911, 1015, 1019, 1221, 1259, 1281, 1283, 1298, 1301, 1303, 1307, 1319, 1327, 1493, 1526, 1533
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OFFSET

1,1


COMMENTS

This sequence is a subset of A100306, Numbers n for which the values of the Moebius function and the Mertens function agree.


LINKS

Donovan Johnson, Table of n, a(n) for n = 1..10000
PrimeFan, Esoteric Integer Sequences


EXAMPLE

102 is in the sequence because it is a sphenic (exactly 3 distinct prime factors, A007304) number, so the Mobius function yields 1 and the sum of that value and the previous Mobius values (the Mertens function) is also 1.


MATHEMATICA

(* If not already defined *) If[Names["Mertens"] == {}, Mertens[x_] := Plus @@ MoebiusMu[Range[1, x]]]; Select[Range[2500], MoebiusMu[ # ] == 1 && Mertens[ # ] == 1 &]


CROSSREFS

Cf. A100306, A100766, A100767.
Sequence in context: A171058 A105906 A157009 * A092168 A080347 A229080
Adjacent sequences: A100762 A100763 A100764 * A100766 A100767 A100768


KEYWORD

nonn


AUTHOR

Alonso del Arte, Jan 03 2005


EXTENSIONS

Offset corrected by Donovan Johnson, Jun 19 2012


STATUS

approved



