A223937 -id:A223937 - cp's OEIS frontend

A223939 Integer averages of first k primes cubed for some k (a(n) = A223937(n)/A122140(n)).

8, 187858, 13080918308, 26871014202, 29988975981350, 773478679579793136, 8923646993118036400, 545048444084018901462938808502760, 22049455928935679528789623492181708, 180819643079146957138056211903672348

Offset: 1

Robert Price, Mar 29 2013

nonn

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

Paul W. Dyson, Table of n, a(n) for n = 1..18 (terms 1..11, 16, 18 from Paul W. Dyson, terms 11..15, 17 from Bruce Garner)
OEIS Wiki, Sums of powers of primes divisibility sequences

Cf. A122140, A223937.
Cf. A085450 (smallest m > 1 that divides Sum_{k=1..m} prime(k)^n).
Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.
Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.

A221867 Let m = A153022(n); a(n) = (1 + sum_{i=1..m} prime(i)^2)/(1+m).

Original entry on oeis.org

54, 218, 222054, 669806, 155593313228, 31860927184920, 37843679840313254, 5349233671440437948, 65075392901385088766, 102744428793110424984, 251471854505406311064463, 1074272348712875302655077, 1114427338015137279788981

Offset: 1

Robert Price, Apr 10 2013

nonn

			For n=2, m=10, a(2) = 2398/11=218.

Cf. A007504, A045345, A171399, A050247, A050248, A024450, A111441, A217599, A217600, A122140, A223936, A223937, A024525, A153022.

Definition corrected by N. J. A. Sloane, Apr 20 2013

cp's OEIS Frontend

A223939 Integer averages of first k primes cubed for some k (a(n) = A223937(n)/A122140(n)).

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