login

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”).

Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.
0

%I #6 Nov 21 2013 12:50:02

%S 4,6,34,176,608,1023,1338,1377,1555,1980,2054,2850,2893,3061,3263,

%T 3572,3977,4029,4244,4405,6099,6548,7203,7348,7350,7572,7574,9028,

%U 10657,11976,12215,12874,13247,13388,13432,14537,14813,15115,15412,15509

%N Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.

%C Numbers n such that 15*prime(n)-4, 15*prime(n)-2, 15*prime(n)+2 and 15*prime(n)+4 are primes.

%F A000040(a(n))=A112540(k).

%e a(1)=4 because 15*prime(4)-4=101, 15*prime(4)-2=103, 15*prime(4)+2=107 and 15*prime(4)+4=109.

%t p15Q[n_]:=And@@PrimeQ/@(15 Prime[n]+{-4,-2,2,4}); Select[Range[16000], p15Q] (* _Harvey P. Dale_, Mar 20 2011 *)

%Y Cf. A112540, A173037, A173092.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Apr 11 2010

%E More terms from _R. J. Mathar_, Apr 16 2010