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Search: id:A109818
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| A109818 |
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Sum of primes between n and n^2. |
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+0
2
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| 0, 5, 15, 36, 95, 150, 318, 484, 774, 1043, 1576, 2099, 2886, 3790, 4620, 6040, 7941, 9465, 11541, 13810, 16763, 19982, 23515, 26840, 32253, 37461, 42368, 48394, 55737, 62668, 70112, 80029, 89512, 100678, 111427, 124051, 135954, 148630, 166354
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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a(3) = 15 because 3, 5, and 7 are the A073882(3) = 3 primes in the interval from 3 to 3^2 inclusive and 3 + 5 + 7 = 15.
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PROGRAM
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(PARI) for(n=1, 50, print1(sum(k=n, n^2, if(isprime(k), k)), ", "))
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CROSSREFS
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Cf. A109819 (product of same primes), A073882 (number of primes between n and n^2).
Sequence in context: A053808 A111926 A137609 this_sequence A005491 A050488 A142964
Adjacent sequences: A109815 A109816 A109817 this_sequence A109819 A109820 A109821
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KEYWORD
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easy,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 02 2005
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