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

Author

Vladimir Joseph Stephan Orlovsky, Jul 25 2009

Keywords

• nonn

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A163385.

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

Programs

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 *)

Extensions

Edited by Omar E. Pol, Aug 06 2009