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%I #20 Sep 08 2022 08:44:52
%S 36,144,1764,2304,5184,7056,8100,30276,41616,69696,93636,138384,
%T 166464,207936,224676,298116,352836,360000,412164,562500,725904,
%U 777924,876096,944784,956484,1077444,1299600,1468944,1617984,1920996,2160900,2286144,2304324,2509056
%N Squares which are the sum of twin prime pairs.
%C There are exactly 5^2 squares less than or equal to 1000^2 which are the sum of twin prime pairs.
%H Amiram Eldar, <a href="/A037072/b037072.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = 2 * A154670(n) = A152786(n)^2. - _Amiram Eldar_, Jan 01 2020
%e 36 (square) = 6^2 = 17 + 19 (twin prime pair).
%t lst={};Do[p=n^2;If[PrimeQ[p/2-1]&&PrimeQ[p/2+1], AppendTo[lst, p]], {n, 0, 7!, 2}];lst (* _Vladimir Joseph Stephan Orlovsky_, Sep 25 2008 *)
%o (Magma) [k^2:k in [2..1700 by 2]| IsPrime(k^2 div 2 -1) and IsPrime(k^2 div 2 +1)]; // _Marius A. Burtea_, Jan 01 2020
%Y Cf. A000290, A001359, A006512, A152786, A154670.
%K nonn
%O 1,1
%A _G. L. Honaker, Jr._
%E More terms from _Amiram Eldar_, Jan 01 2020
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