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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A269256 Chen primes p such that there are Chen primes p > q > r in arithmetic progression.

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%I A269256 #13 Sep 06 2017 11:30:16
%S A269256 7,11,17,19,23,29,31,41,47,53,59,67,71,83,89,101,107,113,127,131,137,
%T A269256 139,149,167,179,181,191,197,199,211,227,233,239,251,257,263,269,281,
%U A269256 293,307,311,317,347
%N A269256 Chen primes p such that there are Chen primes p > q > r in arithmetic progression.
%C A269256 Green & Tao prove that this sequence is infinite.
%H A269256 Charles R Greathouse IV, <a href="/A269256/b269256.txt">Table of n, a(n) for n = 1..10000</a>
%H A269256 Ben Green and Terence Tao, <a href="http://jtnb.cedram.org/item?id=JTNB_2006__18_1_147_0">Restriction theory of the Selberg sieve, with applications</a>, Journal de théorie des nombres de Bordeaux 18:1 (2006), pp. 147-182.
%e A269256 19 is in the sequence since 3 < 11 < 19, 19 - 11 = 11 - 3, all three are prime, and 3+2, 11+2, and 19+2 are each either prime or semiprime.
%o A269256 (PARI) issemi(n)=bigomega(n)==2
%o A269256 ischen(n)=isprime(n) && (isprime(n+2) || issemi(n+2))
%o A269256 is(n)=if(!ischen(n), return(0)); forprime(p=2,n-4, if((p+n)%4==2 && ischen(p) && ischen((p+n)/2), return(1))); 0
%Y A269256 Subsequence of A109611. This is the Chen prime analog of A216495.
%Y A269256 Cf. A291525.
%K A269256 nonn
%O A269256 1,1
%A A269256 _Charles R Greathouse IV_, Jul 12 2016