OFFSET
1,1
LINKS
Robert Price, Table of n, a(n) for n = 1..1000
FORMULA
a(n) = 0.25*n^4*log(n)^3 + O(n^4*log(n)^2*log(log(n))). The proof is similar to proof for A007504(n) (see link of Shevelev). - Vladimir Shevelev, Aug 02 2013
MATHEMATICA
P3[n_]:=Sum[Prime[i]^3, {i, 1, n}]; Table[P3[n], {n, 1, 60}]
PROG
(PARI) a(n) = sum(i=1, n, prime(i)^3); \\ Michel Marcus, Jan 20 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Suzanne O' Regan (s.m.oregan(AT)student.ucc.ie), Nov 06 2004
STATUS
approved