

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



