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A037073 (6n)^2 is the sum of a twin prime pair. 13

%I

%S 1,2,7,8,12,14,15,29,34,44,51,62,68,76,79,91,99,100,107,125,142,147,

%T 156,162,163,173,190,202,212,231,245,252,253,264,295,306,317,330,331,

%U 355,366,376,377,386,397,442,448,453,462,469,481,491,498,502,516,547

%N (6n)^2 is the sum of a twin prime pair.

%H C. K. Caldwell, <a href="http://primes.utm.edu/glossary/page.php?sort=TwinPrime">Twin primes</a>

%e E.g. n=44 -> (6*44)^2 = 69696 = 34847 + 34849 (twin prime pair)

%t Select[Sqrt[Plus@@@Select[Partition[Prime[Range[4*10^5]],2,1],Differences[#]=={2} &]/36],IntegerQ] (* _Jayanta Basu_, May 26 2013 *)

%Y Cf. A000290, A001359, A006512.

%Y A152786 = 6*A037073. - Zak Seidov, Aug 20 2010

%K nonn

%O 1,2

%A _G. L. Honaker, Jr._

%E More terms from _Jud McCranie_, Dec 30 2000

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Last modified October 24 06:31 EDT 2014. Contains 248502 sequences.