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). - 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. [The definition in this webpage is unsatisfactory, because it defines a "sexy prime" as a pair of primes.- N. J. A. Sloane, Mar 07 2021].
FORMULA
a(n) = A046118(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+6]], {n, 7!}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 29 2008 *)
Select[Prime[Range[400]], And@@PrimeQ[{#-6, #+6}]&&!PrimeQ[#+12]&] (* Harvey P. Dale, Nov 01 2011 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
Definition edited by Daniel Forgues, Aug 12 2009
STATUS
approved