A093774 Smallest integers at which the value of truncated Mertens function equals n!.

1, 6, 21, 93, 698, 5377, 48198, 483817, 5231438, 61160870, 774696437, 10552025533, 153901234789

Offset: 1

Author

Labos Elemer, Apr 28 2004

Keywords

• nonn
• more

Comments

Observe that magnitude of a(n) is not far from that of (n-1)!.

Crossrefs

Cf. A002321, A000720, A088004, A093772, A093773.

Programs

Mathematica

s = 0; k = 1; Do[ While[s = s + MoebiusMu[k]; s + PrimePi[k] < n!, k++ ]; Print[k]; k++, {n, 10}] (* Robert G. Wilson v, Apr 30 2004 *)

Formula

Solutions to Min(x : A088004(x) = n!), i.e., a(n) = Min(x : A002321(x) + A000720(x) = n!).

Extensions

a(9)-a(10) from Robert G. Wilson v, Apr 30 2004

a(11)-a(13) from Donovan Johnson, Jun 21 2012