OFFSET
1,1
COMMENTS
Hardy & Littlewood's conjecture that this sequence is finite (Conjecture L, p. 51).
Up to 4*10^9 there are 7050 such numbers, the last one being 78526384. - Giovanni Resta, Feb 20 2013
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..7050
G. H. Hardy and J. E. Littlewood, Some problems of 'Partitio numerorum'; III: on the expression of a number as a sum of primes, Acta Mathematica, Vol. 44, pp. 1-70, 1923.
PROG
(PARI) is(n)=if(ispower(n, 3), return(0)); for(k=1, n^(1/3), if(isprime(n-k^3), return(0))); 1
CROSSREFS
KEYWORD
nonn
AUTHOR
Charles R Greathouse IV, Feb 19 2013
STATUS
approved