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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 (list; graph; refs; listen; history; text; internal format)
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 Anti-Waring 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

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Last modified July 28 04:17 EDT 2021. Contains 346317 sequences. (Running on oeis4.)