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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
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 *)
seq[kmax_] := Position[Accumulate[MoebiusMu[Range[kmax]]], 0] // Flatten; seq[500] (* Amiram Eldar, Jun 09 2024 *)
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
(PARI) lista(kmax) = {my(s = 0); for(k = 1, kmax, s += moebius(k); if(s == 0, print1(k, ", "))); } \\ Amiram Eldar, Jun 09 2024
(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
KEYWORD
nonn
STATUS
approved