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A029833 A discrete version of the Mangoldt function: if n is prime then round(log(n)) else 0. +0
5
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; listen)
OFFSET

1,5

COMMENT

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.

CROSSREFS

Cf. A029832, A029834, A053821.

Sequence in context: A079208 A069851 A029834 this_sequence A050948 A062590 A139215

Adjacent sequences: A029830 A029831 A029832 this_sequence A029834 A029835 A029836

KEYWORD

nonn,easy

AUTHOR

njas

page 1

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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