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 A035794 Start of a string of exactly 6 consecutive (but disjoint) pairs of twin primes. 10
 325267931, 412984667, 2227604747, 2409360557, 4014288869, 4363839617, 6988064579, 8402566787, 9497780417, 10099096127, 12347083739, 12429980741, 13022601257, 14198015129, 14845029299, 15330685079, 16810761029, 17049454841, 18266059421, 18864084791 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Vasily Danilov, Table of n, a(n) for n = 1..10000, a(27)-a(41), a(112), a(227)-a(253) from Natalia Makarova, remaining terms from Vasily Danilov and Dmitry Petukhov. Randall Rathbun, A study of n-twin_prime clusters among prime numbers, Posting to Number Theory List, Nov 19 1998. MATHEMATICA fQ[n_] := Block[{k = 6}, And[NextPrime[n, -1] - NextPrime[n, -2] != 2, NextPrime[n, 2 k + 1] - NextPrime[n, 2 k] != 2, AllTrue[NextPrime[n, # + 1] - NextPrime[n, #] & /@ (Range[0, 2 k - 1, 2]), # == 2 &]]]; Select[Prime@ Range[10^9], fQ] (* Michael De Vlieger, May 09 2015, Version 10 *) PROG (PARI) isok(p) = {if (! isprime(p-2) && isprime(p+2), for (k=2, 6, my(q = nextprime(p+3)); if (! isprime(q+2), return (0)); p = q+2; ); q = nextprime(p+3); if (isprime(q+2), return (0)); return (1); ); return (0); } \\ Michel Marcus, Dec 06 2019 CROSSREFS Cf. A001359, A035789, A035790, A035791, A035792, A035793, A035794, A035795, A087641. Sequence in context: A112429 A104923 A153753 * A260083 A233708 A022239 Adjacent sequences:  A035791 A035792 A035793 * A035795 A035796 A035797 KEYWORD nonn AUTHOR Randall Rathbun EXTENSIONS a(11)-a(17) from Jud McCranie, Sep 16 2003 Offset corrected by Arkadiusz Wesolowski, May 06 2012 Wrong term 678771479 deleted and a(18)-a(26) from Sebastian Petzelberger, May 04 2015 STATUS approved

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Last modified January 29 07:03 EST 2020. Contains 331337 sequences. (Running on oeis4.)