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 A071698 Lesser members of twin prime pairs of form (4*k+3, 4*k+5), k >= 0. 10
 3, 11, 59, 71, 107, 179, 191, 227, 239, 311, 347, 419, 431, 599, 659, 827, 1019, 1031, 1091, 1151, 1319, 1427, 1451, 1487, 1607, 1619, 1667, 1787, 1871, 1931, 2027, 2087, 2111, 2267, 2339, 2591, 2687, 2711, 2999, 3119, 3167, 3251, 3299 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Corresponding greater members: A071699(n). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019. FORMULA a(n) = 2*A241557(n+1)-1. - Hilko Koning, Nov 06 2019 MATHEMATICA Transpose[Select[Table[4n+{3, 5}, {n, 0, 1000}], AllTrue[#, PrimeQ]&]][[1]] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 16 2015 *) PROG (Haskell) a071698 n = a071698_list !! (n-1) a071698_list = [x | x <- [3, 7 ..], a010051' x == 1, a010051' (x+2) == 1] -- Reinhard Zumkeller, Aug 05 2014 (Magma) [4*k+3:k in [0..1000]|IsPrime(4*k+3) and IsPrime(4*k+5)]; // Marius A. Burtea, Nov 06 2019 CROSSREFS Cf. A001359, A071695, A071700. Cf. A010051, subsequence of A004767. Sequence in context: A305990 A168325 A141776 * A089188 A086827 A308487 Adjacent sequences: A071695 A071696 A071697 * A071699 A071700 A071701 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jun 04 2002 STATUS approved

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Last modified April 20 06:53 EDT 2024. Contains 371799 sequences. (Running on oeis4.)