login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A176872 Prime numbers p such that p-LargestSquare is prime and p-LargestCube is also prime, (LargestSquare <= p, LargestCube <= p). 1
3, 11, 19, 67, 71, 83, 107, 227, 263, 269, 613, 619, 1031, 1061, 1163, 1193, 1223, 1307, 1787, 1801, 1811, 1831, 1979, 1997, 2129, 4099, 4127, 4133, 4139, 4157, 4373, 4409, 4463, 4637, 4643, 4703, 5843, 5849, 5879, 5903, 6089, 6101, 6113, 6143, 6163, 6211 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

11-3^2=2;11-2^3=3, 19-4^2=3,19-2^3=11,..

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

MATHEMATICA

lst={}; Do[p2=n-Floor[Sqrt[n]]^2; p3=n-Floor[n^(1/3)]^3; If[PrimeQ[p2]&&PrimeQ[p3]&&PrimeQ[n], AppendTo[lst, n]], {n, 8!}]; lst

plsplcQ[p_]:=AllTrue[{p-Floor[Sqrt[p]]^2, p-Floor[Surd[p, 3]]^3}, PrimeQ]; Select[ Prime[ Range[1000]], plsplcQ] (* Harvey P. Dale, Jul 03 2022 *)

CROSSREFS

Cf. A135932, A176864, A176865, A176870, A176871

Sequence in context: A116945 A048270 A183459 * A088733 A128996 A196174

Adjacent sequences: A176869 A176870 A176871 * A176873 A176874 A176875

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Apr 27 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 07:00 EST 2022. Contains 358649 sequences. (Running on oeis4.)