A176002 Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.

4, 6, 34, 176, 608, 1023, 1338, 1377, 1555, 1980, 2054, 2850, 2893, 3061, 3263, 3572, 3977, 4029, 4244, 4405, 6099, 6548, 7203, 7348, 7350, 7572, 7574, 9028, 10657, 11976, 12215, 12874, 13247, 13388, 13432, 14537, 14813, 15115, 15412, 15509

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..40.

Formula

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

Example

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.

Mathematica

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

Crossrefs

Cf. A112540, A173037, A173092.

Sequence in context: A222490 A071394 A137021 * A175061 A222502 A375412

Adjacent sequences: A175999 A176000 A176001 * A176003 A176004 A176005

Keyword

nonn

Author

Juri-Stepan Gerasimov, Apr 11 2010

Extensions

More terms from R. J. Mathar, Apr 16 2010

Status

approved