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

Author

Zak Seidov, May 03 2005

Keywords

• nonn

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.

Crossrefs

Cf. A064370.

Programs

Mathematica

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

PARI

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

Extensions

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