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A288915 Run lengths in A039704. 1
1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 2, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

Is the sequence bounded?

On Dickson's conjecture this sequence is unbounded. Records: a(1) = 1, a(9) = 2, a(13) = 3, a(39) = 4, a(180) = 6, a(1348) = 7, a(6698) = 8, a(8156) = 10, a(20230) = 11, a(79011) = 12, a(99250) = 13, a(710895) = 15, a(2421600) = 16, a(7128444) = 17, a(11898707) = 18, a(14368535) = 20, a(21943755) = 22, a(519775979) = 25, a(3111006505) = 27. - Charles R Greathouse IV, Jun 19 2017

LINKS

Zak Seidov, Table of n, a(n) for n = 1..20000

MATHEMATICA

Length /@ Split[Mod[Prime[Range[100]], 6]]

PROG

(PARI) t=1; p=2; forprime(q=3, 1e3, if((q-p)%6==0, t++, print1(t", "); t=1); p=q) \\ Charles R Greathouse IV, Jun 19 2017

CROSSREFS

Cf. A039704, A057620, A057622.

Sequence in context: A059674 A117545 A047000 * A175062 A139767 A207822

Adjacent sequences:  A288912 A288913 A288914 * A288916 A288917 A288918

KEYWORD

nonn

AUTHOR

Zak Seidov, Jun 19 2017

EXTENSIONS

a(70) corrected by Charles R Greathouse IV, Jun 19 2017

STATUS

approved

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Last modified October 16 03:37 EDT 2019. Contains 328040 sequences. (Running on oeis4.)