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A176002 Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes. 0
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 (list; graph; refs; listen; history; text; internal format)
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 A092187

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

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Last modified October 25 17:22 EDT 2021. Contains 348255 sequences. (Running on oeis4.)