A211167 Neither a cube nor the sum of a prime and a positive cube.

2, 5, 7, 9, 16, 17, 22, 23, 26, 28, 33, 35, 36, 41, 43, 47, 52, 53, 57, 59, 63, 65, 73, 76, 78, 82, 85, 89, 92, 96, 99, 103, 112, 113, 118, 119, 120, 122, 126, 129, 133, 141, 146, 149, 151, 155, 160, 163, 169, 170, 179, 183, 185, 188, 193, 197

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

Cf. A045911.

Sequence in context: A093417 A286162 A286164 * A083272 A115906 A192279

Adjacent sequences: A211164 A211165 A211166 * A211168 A211169 A211170

Keyword

nonn

Author

Charles R Greathouse IV, Feb 19 2013

Status

approved