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A022007 Initial members of prime quintuplets (p, p+4, p+6, p+10, p+12). 73
7, 97, 1867, 3457, 5647, 15727, 16057, 19417, 43777, 79687, 88807, 101107, 257857, 266677, 276037, 284737, 340927, 354247, 375247, 402757, 419047, 427237, 463447, 470077, 626617, 666427, 736357, 823717, 855727, 959467, 978067, 1022377, 1043587, 1068247 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A052378. - R. J. Mathar, Feb 11 2013

All terms are congruent to 7 (modulo 30). - Matt C. Anderson, May 22 2015

LINKS

T. D. Noe and Moshe Levin, Table of n, a(n) for n = 1..10000 (First 1000 terms from T. D. Noe.)

T. Forbes, Prime k-tuplets

FORMULA

a(n) = 7 + 30*A089157(n). - Moshe Levin, Nov 01 2011

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[p+4]&&PrimeQ[p+6]&&PrimeQ[p+10]&&PrimeQ[p+12], AppendTo[lst, p]], {n, 9!}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 25 2008 *)

Transpose[Select[Partition[Prime[Range[76000]], 5, 1], Differences[#] == {4, 2, 4, 2}&]][[1]] (* Harvey P. Dale, Aug 16 2014 *)

PROG

(PARI) forprime(p=2, 1e5, if(isprime(p+4)&&isprime(p+6)&&isprime(p+10)&&isprime(p+12), print1(p", "))) \\ Charles R Greathouse IV, Jul 15 2011

(MAGMA) [p: p in PrimesUpTo(2*10^6) | IsPrime(p+4) and IsPrime(p+6) and IsPrime(p+10)and IsPrime(p+12)]; // Vincenzo Librandi, Aug 23 2015

(Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 1e7, 4, 6, 10, 12); # Dana Jacobsen, Sep 30 2015

CROSSREFS

Cf. A089157.

Sequence in context: A188441 A178808 A083083 * A174516 A058805 A132061

Adjacent sequences:  A022004 A022005 A022006 * A022008 A022009 A022010

KEYWORD

nonn,easy

AUTHOR

Warut Roonguthai

STATUS

approved

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Last modified December 2 13:24 EST 2016. Contains 278678 sequences.