OFFSET
1,1
COMMENTS
Subsequence of A078561. - R. J. Mathar, Feb 11 2013
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+6.
EXAMPLE
p=43,43+4=47,43+4+6=53,43+4+6+6=59 are consecutive primes.
MATHEMATICA
Transpose[Select[Partition[Prime[Range[4000]], 4, 1], Differences[#]=={4, 6, 6}&]][[1]] (* Harvey P. Dale, Dec 15 2015 *)
PROG
(PARI) isok(n) = isprime(n) && (nextprime(n+1) == (n+4)) && (nextprime(n+5) == (n+10)) && (nextprime(n+11) == (n+16)) \\ Michel Marcus, Jul 23 2013
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