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Primes of the form 2(p+q) + 1, where p and q are consecutive primes.
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%I #12 Dec 25 2019 18:26:09

%S 11,17,37,61,73,137,157,181,241,257,277,373,397,409,421,433,577,601,

%T 617,641,661,769,821,1097,1117,1129,1153,1201,1237,1249,1297,1453,

%U 1481,1597,1621,1657,1861,1933,2089,2129,2281,2297,2417,2441,2473,2749,2857,3037

%N Primes of the form 2(p+q) + 1, where p and q are consecutive primes.

%C a(n) == 1 (mod 4), except for the initial term.

%H Vincenzo Librandi, <a href="/A098649/b098649.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[ Table[2(Prime[i] + Prime[i + 1]) + 1, {i, 150}], PrimeQ[ # ] &] (* _Robert G. Wilson v_, Sep 19 2004 *)

%t Select[2*Total[#]+1&/@Partition[Prime[Range[200]],2,1],PrimeQ] (* _Harvey P. Dale_, Dec 25 2019 *)

%Y Cf. A097361.

%K nonn

%O 1,1

%A _Giovanni Teofilatto_, Sep 18 2004

%E More terms from _Robert G. Wilson v_, Sep 19 2004