%I #67 Feb 19 2024 22:52:45

%S 8,187858,13080918308,26871014202,29988975981350,773478679579793136,

%T 8923646993118036400,545048444084018901462938808502760,

%U 22049455928935679528789623492181708,180819643079146957138056211903672348

%N Integer averages of first k primes cubed for some k (a(n) = A223937(n)/A122140(n)).

%H Paul W. Dyson, <a href="/A223939/b223939.txt">Table of n, a(n) for n = 1..18</a> (terms 1..11, 16, 18 from Paul W. Dyson, terms 11..15, 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>

%e The integer, 187858 is the average of the first 25 primes^3 (4696450/25=187858).

%Y Cf. A122140, A223937.

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

%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