

A046120


Largest member of a sexy prime triple; value of p+12 where p, p+6 and p+12 are all prime, but p+18 is not.


4



19, 29, 43, 59, 79, 109, 113, 163, 179, 239, 269, 283, 359, 379, 569, 599, 619, 659, 739, 953, 983, 1109, 1129, 1193, 1229, 1289, 1303, 1373, 1439, 1459, 1499, 1619, 1669, 1759, 1789, 1879, 1913, 1999, 2143, 2293, 2389, 2423, 2689, 2699, 2719
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OFFSET

1,1


COMMENTS

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 largest member; e.g., a(4)=59 is the largest member of the sexy prime triple (47, 53, 59), but is the fourth member of the sexy prime quadruple (41, 47, 53, 59).  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.


FORMULA

a(n) = A046118(n)+12 and a(n) = A046119(n)+6.  Michel Marcus, Jan 06 2015


MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[p+6]&&PrimeQ[p+12]&&!PrimeQ[p+18], AppendTo[lst, p+12]], {n, 7!}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 29 2008 *)
#+12&/@Select[Prime[Range[400]], PrimeQ[#+{6, 12, 18}]=={True, True, False}&] (* Harvey P. Dale, Dec 08 2012 *)


CROSSREFS

Cf. A023201, A046117.
Cf. A046118, A046119.
Sequence in context: A173966 A096218 A100590 * A063644 A156782 A092600
Adjacent sequences: A046117 A046118 A046119 * A046121 A046122 A046123


KEYWORD

nonn


AUTHOR

Eric W. Weisstein


STATUS

approved



