

A213519


Numbers that are the sum of cubes of distinct primes.


2



0, 8, 27, 35, 125, 133, 152, 160, 343, 351, 370, 378, 468, 476, 495, 503, 1331, 1339, 1358, 1366, 1456, 1464, 1483, 1491, 1674, 1682, 1701, 1709, 1799, 1807, 1826, 1834, 2197, 2205, 2224, 2232, 2322, 2330, 2349, 2357, 2540, 2548, 2567, 2575, 2665, 2673, 2692
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OFFSET

1,2


COMMENTS

The complement of this sequence is conjectured to have 483370 terms, the last one being 1866000 = A121571(3).
This conjecture was proved by Fuller and Nichols (see the link).  Robert Nichols, Sep 17 2017


LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000
C. Fuller and R. H. Nichols Jr., Generalized AntiWaring Numbers, J. Int. Seq. 18, 2015, #15.10.5.


MATHEMATICA

lim = PrimePi[17]; s = {0}; Do[p = Prime[n]; s = Union[s, s + p^3], {n, lim}]; Select[s, # <= Prime[lim]^3 &]


CROSSREFS

Cf. A121571.
Sequence in context: A056824 A297868 A051760 * A066215 A086213 A175050
Adjacent sequences: A213516 A213517 A213518 * A213520 A213521 A213522


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, Jul 10 2012


STATUS

approved



