A105645 Numbers n such that the n-th prime - n is a cube.

1, 2, 38, 152, 542, 746, 1632, 2243, 5317, 7520, 15006, 33156, 39925, 101946, 130340, 136572, 331757, 397252, 560017, 722898, 1037524, 1197551, 1737710, 1754109, 2160356, 2217439, 2559702, 2820804, 5173565, 6197364, 7014969, 7597461

Offset

1,2

Comments

Corresponding cubes are: {1,1,5,9,15,17,23,26,36,41,53,71,76}^3. Cf. A064370: numbers n such that the n-th prime - n is a square.

Links

Table of n, a(n) for n=1..32.

Mathematica

Transpose[Select[Table[{Prime[n], n}, {n, 76*10^5}], IntegerQ[Surd[#[[1]]- #[[2]], 3]]&]][[2]] (* Harvey P. Dale, Jun 22 2016 *)

Prog

(PARI) isok(n) = ispower(prime(n)-n, 3); \\ Michel Marcus, Oct 05 2013

Crossrefs

Cf. A064370.

Sequence in context: A050248 A337773 A364714 * A098456 A214909 A226402

Adjacent sequences: A105642 A105643 A105644 * A105646 A105647 A105648

Keyword

nonn

Author

Zak Seidov, May 03 2005

Extensions

a(14)-a(32) from Donovan Johnson, Dec 02 2009

Status

approved