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A073837
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Sum of primes p satisfying n <= p <= 2n.
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4
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2, 5, 8, 12, 12, 18, 31, 24, 41, 60, 60, 72, 72, 59, 88, 119, 119, 102, 139, 120, 161, 204, 204, 228, 228, 228, 281, 281, 281, 311, 372, 341, 341, 408, 408, 479, 552, 515, 515, 594, 594, 636, 636, 593, 682, 682, 682, 635, 732, 732, 833, 936, 936, 990, 1099, 1099
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(n) = A034387(2*n) - A034387(n-1); a(n) <= A179213(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 05 2010]
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EXAMPLE
| a(7) = 31 = 7+11+13 (sum of primes between 7 and 14).
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MAPLE
| for n from 1 to 150 do l := 0:for j from n to 2*n do if isprime(j) then l := l+j:fi:od:a[n] := l:od:seq(a[j], j=1..150);
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PROG
| (PARI) a(n)=sum(i=n, 2*n, i*isprime(i))
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CROSSREFS
| Cf. A073838.
Sequence in context: A135050 A004112 A024815 * A189531 A190347 A193767
Adjacent sequences: A073834 A073835 A073836 * A073838 A073839 A073840
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 12 2002
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EXTENSIONS
| More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de) and Benoit Cloitre, Aug 14 2002
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