A029833 - OEIS

This site is supported by donations to The OEIS Foundation.

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.

A029833

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

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`

License Agreements, Terms of Use, Privacy Policy. .

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