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A177335 List of 4-tuples of twin primes q, p, p+2 and q+2 such that 3*q

%I A177335 #8 May 06 2019 01:29:12
%S A177335 3,11,13,5,5,17,19,7,59,179,181,61,269,809,811,271,1949,5849,5851,
%T A177335 1951,2999,8999,9001,3001,6359,19079,19081,6361,11489,34469,34471,
%U A177335 11491,11549,34649,34651,11551,14549,43649,43651,14551
%N A177335 List of 4-tuples of twin primes q, p, p+2 and q+2 such that 3*q<p<(p+2)<3*(q+2).
%H A177335 Robert Israel, <a href="/A177335/b177335.txt">Table of n, a(n) for n = 1..10000</a>
%F A177335 From _Robert Israel_, May 05 2019: (Start)
%F A177335 a(4k-3) = A174920(k).
%F A177335 a(4k-2) = 3*A174920(k) + 2.
%F A177335 a(4k-1) = 3*A174920(k) + 4.
%F A177335 a(4k) = A174920(k)+2. (End)
%p A177335 A174920:= select(q -> isprime(q) and isprime(q+2) and isprime(3*q+2) and isprime(3*q+4), [3,seq(i,i=5..200000,6)]):
%p A177335 map(t -> (t, 3*t+2, 3*t+4, t+2), A174920); # _Robert Israel_, May 05 2019
%Y A177335 Cf. A174920, A176821.
%K A177335 nonn
%O A177335 1,1
%A A177335 _Juri-Stepan Gerasimov_, May 08 2010
%E A177335 Verified and extended by _D. S. McNeil_, May 10 2010