OFFSET
1,1
COMMENTS
Suggested in a discussion in Mersenneforum, with contributions by users "davar55", Charles R Greathouse IV, and Benjamin R. Buhrow. The latter calculated terms a(1)-a(12) of this sequence (see links).
LINKS
Ben Buhrow, Software and extended tables, 07 Apr 2010.
Ben Buhrow and others, Sums of Squares, thread in Mersenneforum, April 2010.
EXAMPLE
a(1): 10 divides prime cube sum up to 5, sum = 2^3 + 3^3 + 5^3 = 160;
a(2): 100 divides prime cube sum up to 233, sum = 143309500;
a(3): 1000 divides prime cube sum up to 8783, sum = 167992435025000.
PROG
(PARI) for(n=1, 8, my(n10=10^n, s=0); forprime(p=2, oo, s+=p^3; if(!(s%n10), print1(p, ", "); break)))
CROSSREFS
KEYWORD
nonn,more,hard
AUTHOR
Hugo Pfoertner, Dec 10 2019
STATUS
approved