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Search: id:A109724
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| A109724 |
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Sum of the first n^2 primes. |
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+0
10
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| 0, 2, 17, 100, 381, 1060, 2427, 4888, 8893, 15116, 24133, 36888, 54169, 77136, 106733, 144526, 191755, 249748, 320705, 406048, 507825, 627294, 768373, 931686, 1119887, 1336090, 1583293, 1864190, 2180741, 2536646, 2935471, 3380980
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OFFSET
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0,2
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COMMENT
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Partial sums of A109725.
a(n) = A007504(n^2).
a(n) = A109724(n) is prime for a(1) = 2, a(2) = 17, a(8) = 8893, a(10) = 24133, a(22) = 68373, a(26) = 1583293, a(28) = 2180741. a(n) is semiprime for a(4) = 381 = 3 * 127, a(6) = 2427 = 3 * 809, a(12) = 54169 = 19 * 2851, a(16) = 191755 = 5 * 38351, a(24) = 1119887 = 89 * 12583. a(n) is square for a(3) = 100. These subsequences would be worth extending. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 13 2005
Prime a(n) are listed in A122207[n] = {2,17,8893,24133,768373,1583293,2180741,3875933,6426919,173472547,289093219,741938801,2738357903,2895147163,3058653607,...}. Numbers n such that a(n) is a prime are listed in A122208[n] = {1,2,8,10,22,26,28,32,36,78,88,110,150,152,154,...}. - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 25 2006
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MATHEMATICA
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f[n_] := Sum[Prime[k], {k, n}]; Table[f[n^2], {n, 0, 32}]
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CROSSREFS
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Cf. A007504, A109722-A109726.
Cf. A122207, A122208.
Sequence in context: A002645 A100268 A129123 this_sequence A127533 A023260 A119363
Adjacent sequences: A109721 A109722 A109723 this_sequence A109725 A109726 A109727
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KEYWORD
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easy,nonn
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AUTHOR
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Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Aug 10 2005
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EXTENSIONS
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Edited and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 11 2005
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