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A028442 Numbers k such that Mertens's function M(k) (A002321) is zero. 19
2, 39, 40, 58, 65, 93, 101, 145, 149, 150, 159, 160, 163, 164, 166, 214, 231, 232, 235, 236, 238, 254, 329, 331, 332, 333, 353, 355, 356, 358, 362, 363, 364, 366, 393, 401, 403, 404, 405, 407, 408, 413, 414, 419, 420, 422, 423, 424, 425, 427 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..10000 (terms 1..5361 from T. D. Noe)
Eric Weisstein's World of Mathematics, Mertens Function
MATHEMATICA
Select[Range[500], Plus@@MoebiusMu[Range[#]] == 0 &] (* Alonso del Arte, Jul 06 2004 *)
PROG
(Perl) use ntheory ":all"; for (moebius(1, 1e7)) { ++$i; say $i unless $M+=$_; } # Dana Jacobsen, May 22 2015
(PARI) isok(n) = sum(k=1, n, moebius(k)) == 0; \\ Michel Marcus, Nov 20 2017
(Magma) M := func<i | &+[MoebiusMu(k): k in [1..i]]>; [n: n in [1..500] | M(n) eq 0]; // Bruno Berselli, Jul 12 2021
CROSSREFS
Sequence in context: A066244 A055689 A345316 * A062982 A042801 A078733
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)