The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A029833

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A029833

A discrete version of the Mangoldt function: if n is prime then round(log(n)) else 0.
(history; published version)

#11 by Harvey P. Dale at Wed Nov 25 19:33:05 EST 2020

STATUS

editing

approved

#10 by Harvey P. Dale at Wed Nov 25 19:33:02 EST 2020

MATHEMATICA

Table[If[PrimeQ[n], Round[Log[n]], 0], {n, 200}] (* Harvey P. Dale, Nov 25 2020 *)

STATUS

approved

editing

#9 by Susanna Cuyler at Wed Feb 06 17:18:16 EST 2019

STATUS

proposed

approved

#8 by Antti Karttunen at Wed Feb 06 16:25:47 EST 2019

STATUS

editing

proposed

#7 by Antti Karttunen at Wed Feb 06 12:23:06 EST 2019

LINKS

Antti Karttunen, <a href="/A029833/b029833.txt">Table of n, a(n) for n = 1..65539</a>

#6 by Antti Karttunen at Wed Feb 06 12:21:34 EST 2019

DATA

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, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0

PROG

(PARI) A029833(n) = if(!isprime(n), 0, round(log(n))); \\ Antti Karttunen, Feb 06 2019

EXTENSIONS

More terms from Antti Karttunen, Feb 06 2019

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 16:47:16 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:47

OEIS Server: https://oeis.org/edit/global/110

#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,easy,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#3 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

REFERENCES

P. Ribenboim, Algebraic Numbers, p. 44.

KEYWORD

nonn,easy,new

#2 by N. J. A. Sloane at Mon May 08 03:00:00 EDT 2000

NAME

A discrete version of the Mangoldt function: if n is prime then round(log(n)) else 0.

OFFSET

0,1,5

COMMENTS

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

REFERENCES

P. Ribenboim, Algebraic Numbers, p. 44.

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

CROSSREFS

Cf. A029832, A029834, A053821.

KEYWORD

nonn,easy,new