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A109442
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Cumulative sum of smallest prime power >= n.
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0
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1, 3, 6, 10, 15, 22, 29, 37, 46, 57, 68, 81, 94, 110, 126, 142, 159, 178, 197, 220, 243, 266, 289, 314, 339, 366, 393, 422, 451, 482, 513, 545, 582, 619, 656, 693, 730, 771, 812, 853, 894, 937, 980
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OFFSET
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1,2
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COMMENTS
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Integers in this sequence which are themselves primes include: a(2) = 3, a(7) = 29, a(8) = 37, a(19) = 197, a(34) = 619, a(40) = 853, a(42) = 937. Integers in this sequence which are themselves powers greater than 1 of primes include: a(12) = 81, a(21) = 243.
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LINKS
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Table of n, a(n) for n=1..43.
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FORMULA
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a(n) = SUM[from i = 1 to n] A000015(i).
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CROSSREFS
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Cf. A000015.
Sequence in context: A174163 A152899 A061304 * A025723 A173106 A022784
Adjacent sequences: A109439 A109440 A109441 * A109443 A109444 A109445
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post, Aug 26 2005
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STATUS
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approved
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