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A016040
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Integer part of Chebyshev's theta function: Floor [ ln Product_{k=1..n} prime(k) ].
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5
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0, 1, 3, 5, 7, 10, 13, 16, 19, 22, 26, 29, 33, 37, 40, 44, 49, 53, 57, 61, 65, 70, 74, 79, 83, 88, 92, 97, 102, 107, 111, 116, 121, 126, 131, 136, 141, 146, 151, 157, 162, 167, 172, 177, 183, 188, 193, 199, 204, 210, 215, 221, 226, 232, 237, 243, 248
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| J. W. Sander, A story of binomial coefficients and primes, Amer. Math. Monthly 102 (1995), 802-807.
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FORMULA
| a(n) = A000195(A002110(n)).
a(n) ~ n log n by the prime number theorem.
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MATHEMATICA
| Table[Floor[N[Sum[Log[Prime[x]], {x, 1, n}]]], {n, 1, 1000}] - Artur Jasinski (grafix(AT)csl.pl), Jan 23 2007
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CROSSREFS
| Sequence in context: A079511 A092757 A062430 * A003070 A036604 A001768
Adjacent sequences: A016037 A016038 A016039 * A016041 A016042 A016043
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
| Added asymptotic formula and name. - Charles R Greathouse IV Dec 11 2008
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