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A105645 Numbers n such that the n-th prime - n is a cube. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A294396 A075459 A050248 * 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

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Last modified November 14 12:38 EST 2019. Contains 329114 sequences. (Running on oeis4.)