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A024918 Partial sums of the sequence of prime powers (A000961). 4
1, 3, 6, 10, 15, 22, 30, 39, 50, 63, 79, 96, 115, 138, 163, 190, 219, 250, 282, 319, 360, 403, 450, 499, 552, 611, 672, 736, 803, 874, 947, 1026, 1107, 1190, 1279, 1376, 1477, 1580, 1687, 1796, 1909, 2030, 2155, 2282, 2410, 2541, 2678, 2817 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The subsequence of prime partial sums of prime powers begins: 3, 79, 163, 499, 947, 1279, 5297. What is the smallest value which is a prime power p^k for k>1? [Jonathan Vos Post, Feb 11 2010]

LINKS

Table of n, a(n) for n=1..48.

PROG

(PARI) ispp1(n) = isprimepower(n) || (n==1); \\ A000961

lista(nn) = {my(s=0); for (n=1, nn, if (ispp1(n), s+= n; print1(s, ", ")); ); } \\ Michel Marcus, Mar 26 2020

CROSSREFS

Cf. A000961, A024923.

Sequence in context: A022784 A025736 A022952 * A117245 A011914 A173645

Adjacent sequences:  A024915 A024916 A024917 * A024919 A024920 A024921

KEYWORD

nonn

AUTHOR

Den Roussel (DenRoussel(AT)webtv.net)

EXTENSIONS

Offset 1 from Michel Marcus, Mar 26 2020

STATUS

approved

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Last modified June 20 14:51 EDT 2021. Contains 345165 sequences. (Running on oeis4.)