A024918 Partial sums of the sequence of prime powers (A000961).

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

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: A025736 A288425 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