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A109442 Cumulative sum of smallest prime power >= n. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..43.

FORMULA

a(n) = Sum_{i=1..n} A000015(i).

CROSSREFS

Cf. A000015.

Sequence in context: A352212 A342212 A061304 * A025723 A173106 A022784

Adjacent sequences: A109439 A109440 A109441 * A109443 A109444 A109445

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Aug 26 2005

STATUS

approved

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Last modified December 8 01:51 EST 2022. Contains 358672 sequences. (Running on oeis4.)