A163386 Primes p such that 4(p-4)-1 and 4(p-4)+1 are twin primes.

5, 7, 19, 31, 61, 109, 211, 277, 367, 409, 421, 487, 571, 829, 967, 1009, 1069, 1201, 1237, 1279, 1471, 1579, 1669, 1699, 1741, 1831, 2161, 2521, 2539, 2719, 2797, 3067, 4021, 4051, 4177, 4261, 4327, 4441, 4519, 4567, 4639, 4789, 4861, 5197, 5407, 5527

Offset

1,1

Comments

In other words, primes p such that 4*(p-4) is member of A014574. [Omar E. Pol, Aug 05 2009]

Links

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

Example

4*(5-4)=4, 4*(7-4)=12, 4*(19-4)=60,...

Mathematica

f1[n_]:=If[PrimeQ[n-1]&&PrimeQ[n+1], True, False]; f2[n_]:=If[f1[n]&&PrimeQ[n/4+4], True, False]; lst={}; Do[If[f2[n], AppendTo[lst, n/4+4]], {n, 8!}]; lst
Select[Prime[Range[3, 750]], And@@PrimeQ[4(#-4)+{1, -1}]&] (* Harvey P. Dale, Jan 24 2014 *)

Crossrefs

Cf. A163385.

Cf. A014574, A163387, A163378. [Omar E. Pol, Aug 05 2009]

Sequence in context: A023246 A022889 A001562 * A200178 A064101 A018581

Adjacent sequences: A163383 A163384 A163385 * A163387 A163388 A163389

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jul 25 2009

Extensions

Edited by Omar E. Pol, Aug 06 2009

Status

approved