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A022005 Initial members of prime triples (p, p+4, p+6). 52
7, 13, 37, 67, 97, 103, 193, 223, 277, 307, 457, 613, 823, 853, 877, 1087, 1297, 1423, 1447, 1483, 1663, 1693, 1783, 1867, 1873, 1993, 2083, 2137, 2377, 2683, 2707, 2797, 3163, 3253, 3457, 3463, 3847, 4153, 4513, 4783, 5227, 5413, 5437 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A029710. - R. J. Mathar, May 06 2017

All terms are congruent to 1 (modulo 6). - Matt C. Anderson, May 22 2015

LINKS

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

T. Forbes, Prime k-tuplets

Maxie D. Schmidt, New Congruences and Finite Difference Equations for Generalized Factorial Functions, arXiv:1701.04741 [math.CO], 2017.

Eric Weisstein's World of Mathematics, Prime Triplet.

MATHEMATICA

Select[Table[Prime[n], {n, 2000}], PrimeQ[# + 4] && PrimeQ[# + 6] &] (* Vladimir Joseph Stephan Orlovsky, Jun 19 2011 *)

PROG

(MAGMA) [p: p in PrimesUpTo(10000) | IsPrime(p+4) and IsPrime(p+6)]; // Vincenzo Librandi, Aug 23 2015

CROSSREFS

Cf. A073649, A098413.

Sequence in context: A173230 A155036 A088985 * A281317 A118819 A118525

Adjacent sequences:  A022002 A022003 A022004 * A022006 A022007 A022008

KEYWORD

nonn,easy

AUTHOR

Warut Roonguthai

STATUS

approved

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Last modified September 25 22:57 EDT 2018. Contains 315425 sequences. (Running on oeis4.)