A213519 Numbers that are the sum of cubes of distinct primes.

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

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: A051760 A373144 A373373 * A352423 A371955 A066215

Adjacent sequences: A213516 A213517 A213518 * A213520 A213521 A213522

Keyword

nonn,easy

Author

T. D. Noe, Jul 10 2012

Status

approved