A100766 Numbers for which the values of the Moebius function (A008683) and the Mertens function (A002321) are both 0.

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

Offset

1,1

Comments

This sequence is a subset of A100306, numbers 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.

Numbers k such that k-1 and k are consecutive zeros of the Mertens function. - Amiram Eldar, Jun 13 2020

Links

Donovan Johnson, Table of n, a(n) for n = 1..10000

PrimeFan, Esoteric Integer Sequences

Mathematica

(* If not already defined *) If[Names["Mertens"] == {}, Mertens[x_] := Plus @@ MoebiusMu[Range[1, x]]]; Select[Range[2500], MoebiusMu[ # ] == 0 && Mertens[ # ] == 0 &]

Crossrefs

Cf. A100306, A100765, A100767.

Sequence in context: A160148 A233733 A233726 * A189541 A201233 A135848

Adjacent sequences: A100763 A100764 A100765 * A100767 A100768 A100769

Keyword

nonn

Author

Alonso del Arte, Jan 03 2005

Extensions

Offset corrected by Donovan Johnson, Jun 19 2012

Status

approved