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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..1993 (for details see extensions)

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 *)

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

Data corrected from Sebastian Petzelberger, May 04 2015

a(27)-a(41) added by Natalia Makarova, Oct 05 2015

a(42)-a(111) added by Vasily Danilov, Oct 10 2015

a(112) added by Natalia Makarova, Oct 10 2015

a(113)-a(311) added by Vasily Danilov, Oct 10 2015, Oct 14 2015

a(227)-a(253) added by Natalia Makarova, Oct 14 2015

a(312)-a(1993) added by Vasily Danilov, Oct 14 2015, Oct 15 2015

STATUS

approved

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Last modified April 18 06:48 EDT 2019. Contains 322209 sequences. (Running on oeis4.)