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Initial members of prime 11-tuplets: primes p such that p + (0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36) are all prime.
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%I #42 Sep 20 2021 09:35:58

%S 11,7908189600581,10527733922591,12640876669691,38545620633251,

%T 43564522846961,60268613366231,60596839933361,71431649320301,

%U 79405799458871,109319665100531,153467532929981,171316998238271,216585060731771,254583955361621,259685796605351,268349524548221

%N Initial members of prime 11-tuplets: primes p such that p + (0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36) are all prime.

%C 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 are the first terms of A135311.

%C All terms are congruent to 11 (modulo 210). - _Zak Seidov_, Sep 15 2014

%C Subsequence of A202282. - _Zak Seidov_, Sep 15 2014

%C All terms, except the first one, are congruent to 1271 (modulo 2310). - _Matt C. Anderson_, May 29 2015

%H Matt C. Anderson and Dana Jacobsen, <a href="/A213647/b213647.txt">Table of n, a(n) for n = 1..6800</a> (first 100 terms from Matt C. Anderson)

%H Norman Luhn, <a href="http://www.pzktupel.de/SMArchiv/11tup1.zip">Table of n, a(n) for n = 1..100000</a>

%o (Perl) use ntheory ":all"; say for sieve_prime_cluster(1,1e14, 2,6,8,12,18,20,26,30,32,36); # _Dana Jacobsen_, Oct 01 2015

%Y Cf. A135311, A202282.

%K nonn

%O 1,1

%A _Matt C. Anderson_, Jun 17 2012

%E a(89) corrected by _Dana Jacobsen_, Oct 01 2015