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A022004 Initial members of prime triples (p, p+2, p+6). 14
5, 11, 17, 41, 101, 107, 191, 227, 311, 347, 461, 641, 821, 857, 881, 1091, 1277, 1301, 1427, 1481, 1487, 1607, 1871, 1997, 2081, 2237, 2267, 2657, 2687, 3251, 3461, 3527, 3671, 3917, 4001, 4127, 4517, 4637, 4787, 4931, 4967, 5231, 5477 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

T. Forbes, Prime k-tuplets

Thomas R. Nicely, Enumeration of the prime triplets (q,q+2,q+6) to 1e16.

P. Pollack, Analytic and Combinatorial Number Theory Course Notes, p. 132, ex. 3.4.3. [Broken link?]

P. Pollack, Analytic and Combinatorial Number Theory Course Notes, p. 132, ex. 3.4.3.

MATHEMATICA

Select[Prime[Range[1000]], PrimeQ[#+2] && PrimeQ[#+6]&] (*From Vladimir Joseph Stephan Orlovsky, Mar 30 2011*)

Transpose[Select[Partition[Prime[Range[1000]], 3, 1], Differences[#]=={2, 4}&]][[1]] (* From Harvey P. Dale, Dec 24 2011 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(10000) | IsPrime(p+2) and IsPrime(p+6) ] [From Vincenzo Librandi, Nov 19 2010]

CROSSREFS

Cf. A073648, A098412.

Sequence in context: A094205 A136091 A184968 * A172454 A162001 A171713

Adjacent sequences:  A022001 A022002 A022003 * A022005 A022006 A022007

KEYWORD

nonn

AUTHOR

Warut Roonguthai (warut822(AT)yahoo.com)

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Last modified February 15 13:48 EST 2012. Contains 205810 sequences.