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Search: id:A161624
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| A161624 |
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Sum of all numbers from n to n-th prime. |
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+0
1
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| 3, 5, 12, 22, 56, 76, 132, 162, 240, 390, 441, 637, 783, 855, 1023, 1311, 1634, 1738, 2107, 2366, 2491, 2929, 3233, 3729, 4453, 4826, 5005, 5400, 5589, 6006, 7663, 8150, 8925, 9169, 10580, 10846, 11737, 12663, 13287, 14271, 15290, 15610, 17433, 17775
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n) = sum_{k=n..prime(n)} k.
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EXAMPLE
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First prime is 2, so a(1) = 1+2 = 3; fifth prime is 11, so a(5) = 5+6+7+8+9+10+11 = 56.
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PROGRAM
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(MAGMA) [ &+[n..NthPrime(n)]: n in [1..44] ]; [From Klaus Brockhaus, Jun 14 2009]
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CROSSREFS
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Cf. A000027, A000040, A161570.
Sequence in context: A034763 A121482 A013498 this_sequence A034758 A131322 A036657
Adjacent sequences: A161621 A161622 A161623 this_sequence A161625 A161626 A161627
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 15 2009
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 15 2009
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