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 A022005 Initial members of prime triples (p, p+4, p+6). 50

%I

%S 7,13,37,67,97,103,193,223,277,307,457,613,823,853,877,1087,1297,1423,

%T 1447,1483,1663,1693,1783,1867,1873,1993,2083,2137,2377,2683,2707,

%U 2797,3163,3253,3457,3463,3847,4153,4513,4783,5227,5413,5437

%N Initial members of prime triples (p, p+4, p+6).

%C Subsequence of A029710. - _R. J. Mathar_, May 06 2017

%C All terms are congruent to 1 (modulo 6). - _Matt C. Anderson_, May 22 2015

%H T. D. Noe, <a href="/A022005/b022005.txt">Table of n, a(n) for n = 1..1000</a>

%H Maxie D. Schmidt, <a href="https://arxiv.org/abs/1701.04741">New Congruences and Finite Difference Equations for Generalized Factorial Functions</a>, arXiv:1701.04741 [math.CO], 2017.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeTriplet.html">Prime Triplet.</a>

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

%o (MAGMA) [p: p in PrimesUpTo(10000) | IsPrime(p+4) and IsPrime(p+6)]; // _Vincenzo Librandi_, Aug 23 2015

%Y Cf. A073649, A098413.

%K nonn,easy,changed

%O 1,1

%A _Warut Roonguthai_

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