The On-Line Encyclopedia of Integer Sequences (OEIS)

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

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 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A176872 revision #1

A176872

Prime numbers p such that p-LargestSquare is prime and p-LargestCube is also prime, (LargestSquare <= p, LargestCube <= p).

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

Table of n, a(n) for n=1..46.

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

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

STATUS

approved