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%I #13 Oct 08 2014 08:47:47
%S 5,7,17,61,107,127,227,251,271,347,499,787,797,827,919,929,1579,1657,
%T 1733,1889,1951,2099,2437,2531,2767,2957,2999,3001,3019,3163,3371,
%U 3581,3761,4241,4373,4673,4919,5801,5923,6229,6361,6803,7057,7517,7877,9337,9413,10061,10399,11057,11117,11171
%N Consider two consecutive primes {p,q} such that P=2p+q and Q=2q+p are both prime. The sequence gives larger primes q.
%e a(1)=5 because p=3, q=5 and P=11 and Q=13 are both prime.
%e a(3)=17 because p=13, q=17 and P=43 and Q=47 are both prime.
%t Select[Table[If[PrimeQ[2*Prime[j-1] + Prime[j]] && PrimeQ[Prime[j-1] + 2*Prime[j]],Prime[j],0],{j,2,2000}],#!=0&] (* _Vaclav Kotesovec_, Oct 08 2014 *)
%o (PARI) listq(nn) = {forprime(p=2, nn, q = nextprime(p+1); if (isprime(2*p+q) && isprime(2*q+p), print1(q, ", ")););} \\ _Michel Marcus_, Oct 07 2014
%Y Cf. A181848 (primes p), A248482 (primes P), A248483 (primes Q).
%K nonn
%O 1,1
%A _Zak Seidov_, Oct 07 2014
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