login
This site is supported by donations to The OEIS Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A029833 A discrete version of the Mangoldt function: if n is prime then round(log(n)) else 0. 4
0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

The real Mangoldt function Lambda(n) is equal to log(n) if n is prime else 0.

REFERENCES

T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 32.

P. Ribenboim, Algebraic Numbers, p. 44.

LINKS

Table of n, a(n) for n=1..80.

CROSSREFS

Cf. A029832, A029834, A053821.

Sequence in context: A029834 A318715 A202385 * A050948 A282695 A292936

Adjacent sequences:  A029830 A029831 A029832 * A029834 A029835 A029836

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 19 20:18 EST 2019. Contains 319310 sequences. (Running on oeis4.)