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Search: id:A073736
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| A073736 |
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Sum of primes whose index is congruent to n (mod 3); equals the partial sums of A073737 (in which sums of three successive terms form the primes). |
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+0
3
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| 1, 2, 3, 6, 9, 14, 19, 26, 33, 42, 55, 64, 79, 96, 107, 126, 149, 166, 187, 216, 237, 260, 295, 320, 349, 392, 421, 452, 499, 530, 565, 626, 661, 702, 765, 810, 853, 922, 973, 1020, 1095, 1152, 1201, 1286, 1345, 1398, 1485, 1556, 1621, 1712, 1785, 1854, 1951
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = Sum_{m<=n, m=n (mod 3)} p_m, where p_m is the m-th prime; that is, a(3n+k) = p_(3n) +p_(3(n-1)) +p_(3(n-2)) +... +p_k, for 0<=k<3, where a(0)=1 and the 0-th prime is taken to be 1.
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EXAMPLE
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a(10) = p_10 +p_7 +p_4 +p_1 = 29 + 17 +7 +2 = 55.
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CROSSREFS
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Cf. A073737.
Sequence in context: A127719 A074150 A061925 this_sequence A101593 A084628 A002096
Adjacent sequences: A073733 A073734 A073735 this_sequence A073737 A073738 A073739
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2002
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