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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 EXAMPLE E.g. n=44 -> (6*44)^2 = 69696 = 34847 + 34849 (twin prime pair). MAPLE 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 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 December 9 17:12 EST 2022. Contains 358702 sequences. (Running on oeis4.)