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A046119 Middle member of a sexy prime triple: value of p+6 where (p,p+6,p+12) are all prime but p+18 is not (although p-6 might be.) 4
13, 23, 37, 53, 73, 103, 107, 157, 173, 233, 263, 277, 353, 373, 563, 593, 613, 653, 733, 947, 977, 1103, 1123, 1187, 1223, 1283, 1297, 1367, 1433, 1453, 1493, 1613, 1663, 1753, 1783, 1873, 1907, 1993, 2137, 2287, 2383, 2417, 2683, 2693, 2713 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

p-6 will be prime if the prime triple contains the last 3 primes of a sexy prime quadruple.

If a sexy prime triple happens to include the last 3 members of a sexy prime quadruple this sequence will contain the sexy prime triple's middle member, e.g. a(4)=53 is the middle member of the sexy prime triple (47, 53, 59), but is also the third member of the sexy prime quadruple (41, 47, 53, 59). [From Daniel Forgues, Aug 05 2009]

LINKS

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

Eric Weisstein's World of Mathematics, Sexy Primes.

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[p+6]&&PrimeQ[p+12]&&!PrimeQ[p+18], AppendTo[lst, p+6]], {n, 7!}]; lst [From Vladimir Joseph Stephan Orlovsky, Aug 29 2008]

Select[Prime[Range[400]], And@@PrimeQ[{#-6, #+6}]&&!PrimeQ[#+12]&] (* Harvey P. Dale, Nov 01 2011 *)

CROSSREFS

Cf. A023201, A046117.

Cf. A046118, A046120.

Sequence in context: A050857 A089714 A070219 * A164408 A164416 A164491

Adjacent sequences:  A046116 A046117 A046118 * A046120 A046121 A046122

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

EXTENSIONS

Definition edited by Daniel Forgues, Aug 12 2009

STATUS

approved

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Last modified October 23 13:13 EDT 2014. Contains 248464 sequences.