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 A037073 Numbers k such that (6*k)^2 is the sum of a twin prime pair. 13
 1, 2, 7, 8, 12, 14, 15, 29, 34, 44, 51, 62, 68, 76, 79, 91, 99, 100, 107, 125, 142, 147, 156, 162, 163, 173, 190, 202, 212, 231, 245, 252, 253, 264, 295, 306, 317, 330, 331, 355, 366, 376, 377, 386, 397, 442, 448, 453, 462, 469, 481, 491, 498, 502, 516, 547 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 C. K. Caldwell, Twin primes FORMULA isa := n -> isprime(n) and isprime(n+2) and issqr(2*n+2): select(isa, [\$4..1000000]): map(n -> sqrt(2*n+2)/6, %); # Peter Luschny, Jan 05 2020 EXAMPLE E.g. n=44 -> (6*44)^2 = 69696 = 34847 + 34849 (twin prime pair). MATHEMATICA Select[Sqrt[Plus@@@Select[Partition[Prime[Range[4*10^5]], 2, 1], Differences[#]=={2} &]/36], IntegerQ] (* Jayanta Basu, May 26 2013 *) CROSSREFS Cf. A000290, A001359, A006512. A152786 = 6*A037073. - Zak Seidov, Aug 20 2010 Sequence in context: A053013 A070044 A129850 * A329407 A329408 A047239 Adjacent sequences:  A037070 A037071 A037072 * A037074 A037075 A037076 KEYWORD nonn AUTHOR EXTENSIONS More terms from Jud McCranie, Dec 30 2000 STATUS approved

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Last modified July 29 06:21 EDT 2021. Contains 346340 sequences. (Running on oeis4.)