The On-Line Encyclopedia of Integer Sequences (OEIS)

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A176865

Numbers n such that n-LargestCube is prime, (LargestCube <= n).
(history; published version)

#6 by Harvey P. Dale at Wed May 31 15:08:20 EDT 2017

STATUS

editing

approved

#5 by Harvey P. Dale at Wed May 31 15:08:16 EDT 2017

LINKS

Harvey P. Dale, <a href="/A176865/b176865.txt">Table of n, a(n) for n = 1..1000</a>

MATHEMATICA

Select[Range[300], PrimeQ[#-Floor[Surd[#, 3]]^3]&] (* Harvey P. Dale, May 31 2017 *)

STATUS

approved

editing

#4 by Charles R Greathouse IV at Mon May 22 12:15:58 EDT 2017

STATUS

editing

approved

#3 by Charles R Greathouse IV at Mon May 22 12:15:56 EDT 2017

COMMENTS

3-1^3=2, 4-1^3=3,..10-2^3=2, 11-2^3=3,..,29-3^3=2,..

EXAMPLE

3-1^3=2, 4-1^3=3, ..., 10-2^3=2, 11-2^3=3, ..., 29-3^3=2, ....

PROG

(PARI) is(n)=isprime(n - sqrtnint(n, 3)) \\ Charles R Greathouse IV, May 22 2017

CROSSREFS

Cf. A135932, A176864.

STATUS

approved

editing

#2 by Russ Cox at Sat Mar 31 12:38:36 EDT 2012

AUTHOR

_Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), _, Apr 27 2010

Discussion

Sat Mar 31

12:38

OEIS Server: https://oeis.org/edit/global/876

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

Numbers n such that n-LargestCube is prime, (LargestCube <= n).

DATA

3, 4, 6, 10, 11, 13, 15, 19, 21, 25, 29, 30, 32, 34, 38, 40, 44, 46, 50, 56, 58, 66, 67, 69, 71, 75, 77, 81, 83, 87, 93, 95, 101, 105, 107, 111, 117, 123, 127, 128, 130, 132, 136, 138, 142, 144, 148, 154, 156, 162, 166, 168, 172, 178, 184, 186, 192, 196, 198, 204

OFFSET

1,1

COMMENTS

3-1^3=2, 4-1^3=3,..10-2^3=2, 11-2^3=3,..,29-3^3=2,..

MATHEMATICA

lst={}; Do[p=n-Floor[n^(1/3)]^3; If[PrimeQ[p], AppendTo[lst, n]], {n, 6!}]; lst

CROSSREFS

Cf. A135932, A176864

KEYWORD

nonn,new

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 27 2010

STATUS

approved