OFFSET
1,1
COMMENTS
Subsequence of A078561. - R. J. Mathar, May 06 2017
LINKS
R. J. Mathar, Table of n, a(n) for n = 1..1000
FORMULA
Primes p = p(i) such that p(i+1)=p+4, p(i+2)=p+4+6, p(i+3)=p+4+6+2.
EXAMPLE
p=19,19+4=23,19+4+6=29,19+4+6+2=31 are consecutive primes.
MATHEMATICA
Select[Prime@ Range[10^4], Differences@ Prime@ Range[#, # + 3] &@ PrimePi@ # == {4, 6, 2} &] (* Michael De Vlieger, Jul 02 2016 *)
CROSSREFS
Cf. analogous prime quadruple sequences with various possible {2, 4, 6}-difference-patterns in brackets: A007530[242], A078847[246], A078848[264], A078849[266], A052378[424], A078850[426], A078851[462], A078852[466], A078853[624], A078854[626], A078855[642], A078856[646], A078857[662], A078858[664], A033451[666].
KEYWORD
nonn
AUTHOR
Labos Elemer, Dec 11 2002
EXTENSIONS
Listed terms verified by Ray Chandler, Apr 20 2009
STATUS
approved