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A073882
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Number of primes between n and n^2.
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6
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0, 2, 3, 4, 7, 8, 12, 14, 18, 21, 26, 29, 34, 38, 42, 48, 55, 59, 65, 70, 77, 84, 91, 96, 105, 113, 120, 128, 137, 144, 152, 161, 170, 180, 189, 199, 208, 216, 228, 239, 251, 261, 270, 281, 292, 305, 315, 327, 342, 352, 363, 378, 394, 405, 418, 429, 441, 458, 471
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n) = SUM(A010051(k): n<=k<=n^2) = A117490(n) + A010051(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 20 2010]
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LINKS
| R. Zumkeller, Table of n, a(n) for n = 1..1000 [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 20 2010]
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FORMULA
| a(n) = A038107(n) - A000720(n) + A010051(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 20 2010]
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PROG
| (PARI) a(n)=sum(k=n, n^2, isprime(k))
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CROSSREFS
| Sequence in context: A050048 A122456 A186243 * A015840 A051213 A066847
Adjacent sequences: A073879 A073880 A073881 * A073883 A073884 A073885
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 16 2002
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EXTENSIONS
| Corrected and extended by Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 20 2002
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