

A211167


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


4



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
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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. 170, 1923.


PROG

(PARI) is(n)=if(ispower(n, 3), return(0)); for(k=1, n^(1/3), if(isprime(nk^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



