Voozh

A153320

Primes p such that abs(p^2 - 48) and p^2 + 48 are also primes.

5, 17, 19, 59, 61, 191, 227, 521, 641, 683, 709, 857, 863, 919, 983, 1031, 1039, 1097, 1117, 1123, 1151, 1229, 1423, 1543, 1579, 1621, 1699, 1733, 1759, 1867, 1871, 2153, 2237, 2287, 2357, 2383, 2557, 2621, 2879, 2971, 3301, 3329, 3371, 3581, 3847, 4021

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

MATHEMATICA

fQ[n_]:=PrimeQ[n^2-48]&&PrimeQ[n^2+48]; lst={}; Do[If[fQ@Prime[n], AppendTo[lst, Prime[n]]], {n, 7!}]; lst

Select[Prime[Range[PrimePi[4500]]], AllTrue[#^2+{48, -48}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Dec 08 2015 *)

PROG

(Magma) [p: p in PrimesUpTo(5000)|IsPrime(p^2-48) and IsPrime(p^2+48)]; // Vincenzo Librandi, Jan 30 2011

CROSSREFS

Cf. A153116, A153119, A153120, A153321.

Sequence in context: A038964 A019401 A217079 * A171253 A226623 A171255

Adjacent sequences: A153317 A153318 A153319 * A153321 A153322 A153323

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 23 2008

EXTENSIONS

Definition corrected by Georg Fischer, Apr 20 2025

STATUS

approved

URL: https://oeis.org/A153320

⇱ A153320 - OEIS