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a(n) is the sum of the cubes of the first A122140(n) primes.
3

%I #62 Feb 19 2024 04:35:50

%S 8,4696450,7024453131396,17761740387522,155912686127038650,

%T 87598780898450312031408,2147216863131055036604400,

%U 2908950240914054780101441371333254159676520,384422969812280951687876430655304031054262132,6187047308209705064673104196645071104957480508

%N a(n) is the sum of the cubes of the first A122140(n) primes.

%H Paul W. Dyson, <a href="/A223937/b223937.txt">Table of n, a(n) for n = 1..18</a> (terms 1..10 from Robert Price, 11 from Paul W. Dyson, 12..15 from Bruce Garner, 16 from Paul W. Dyson, 17 from Bruce Garner)

%H OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>

%Y Cf. A085450 (smallest m > 1 that divides Sum_{k=1..m} prime(k)^n), A122140.

%Y Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.

%Y Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.

%K nonn

%O 1,1

%A _Robert Price_, Mar 29 2013

%E Title corrected by _Hugo Pfoertner_, Feb 09 2021