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A109442 Cumulative sum of smallest prime power >= n. 0

%I #7 Dec 18 2019 00:54:33

%S 1,3,6,10,15,22,29,37,46,57,68,81,94,110,126,142,159,178,197,220,243,

%T 266,289,314,339,366,393,422,451,482,513,545,582,619,656,693,730,771,

%U 812,853,894,937,980

%N Cumulative sum of smallest prime power >= n.

%C 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.

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

%Y Cf. A000015.

%K easy,nonn

%O 1,2

%A _Jonathan Vos Post_, Aug 26 2005

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Last modified September 6 03:51 EDT 2024. Contains 375702 sequences. (Running on oeis4.)