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A029833
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A discrete version of the Mangoldt function: if n is prime then round(log(n)) else 0.
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4
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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; internal format)
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OFFSET
| 1,5
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COMMENTS
| The real Mangoldt function Lambda(n) is equal to log(n) if n is prime else 0.
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REFERENCES
| T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 32.
P. Ribenboim, Algebraic Numbers, p. 44.
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CROSSREFS
| Cf. A029832, A029834, A053821.
Sequence in context: A198255 A029834 A202385 * A050948 A062590 A139215
Adjacent sequences: A029830 A029831 A029832 * A029834 A029835 A029836
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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