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Search: id:A034387
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| 0, 2, 5, 5, 10, 10, 17, 17, 17, 17, 28, 28, 41, 41, 41, 41, 58, 58, 77, 77, 77, 77, 100, 100, 100, 100, 100, 100, 129, 129, 160, 160, 160, 160, 160, 160, 197, 197, 197, 197, 238, 238, 281, 281, 281, 281, 328, 328, 328, 328, 328, 328
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Also sum of all prime-factors in n!.
For large n, these numbers can be closely approximated by the number of primes < n^2. For example, the sum of primes < 10^10 = 2220822432581729238. The number of primes < (10^10)^2 or 10^20 = 2220819602560918840. This has a relative error of 0.0000012743... - Cino Hilliard (hillcino368(AT)hotmail.com), Jun 08 2008
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LINKS
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Cino Hilliard, Sum of primes
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FORMULA
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From the prime number theorem a(n) has the asymptotic expression: a(n) ~ n^2 / (2 log n) - Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Apr 07 2001
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CROSSREFS
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Cf. A007504.
Sequence in context: A070243 A050175 A059797 this_sequence A081240 A132295 A086651
Adjacent sequences: A034384 A034385 A034386 this_sequence A034388 A034389 A034390
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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