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A176002 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

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Last modified April 24 05:26 EDT 2024. Contains 371918 sequences. (Running on oeis4.)