login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A093775 Smallest integers at which the value of truncated Mertens function equals the n-th primorial, the product of first n prime numbers. 1
6, 21, 129, 1290, 20209, 353018, 7537961, 173772587, 4735433401, 160157951005 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..10.

FORMULA

Solutions to Min(x : A088004(x) = n!), i.e. a(n) = Min(x: A002321(x) + A000720(x) = A002110(n))

MATHEMATICA

pri[x_] :=pri[x-1]*Prime[x]; pri[0]=1; s = 0; k = 1; Do[ While[s = s + MoebiusMu[k]; s + PrimePi[k] < pri[n], k++ ]; Print[k]; k++, {n, 10}]

CROSSREFS

Cf. A002321, A000720, A088004, A093772, A093773, A002110, A093774.

Sequence in context: A013320 A056308 A081077 * A318103 A058821 A054366

Adjacent sequences:  A093772 A093773 A093774 * A093776 A093777 A093778

KEYWORD

hard,more,nonn

AUTHOR

Labos Elemer, May 03 2004

EXTENSIONS

a(8)-a(10) from Donovan Johnson, Jun 21 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 25 02:55 EDT 2022. Contains 354047 sequences. (Running on oeis4.)