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A124583 Primes p such that q-p >= 8, where q is the next prime after p. 5
89, 113, 139, 181, 199, 211, 241, 283, 293, 317, 337, 359, 389, 401, 409, 421, 449, 467, 479, 491, 509, 523, 547, 577, 619, 631, 661, 683, 691, 701, 709, 719, 743, 761, 773, 787, 797, 811, 829, 839, 863, 887, 911, 919, 929, 953, 983, 997, 1021, 1039, 1051, 1069, 1109 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Is this the same as A083371? If so, A083371 should be edited to give this as the definition.

LINKS

Table of n, a(n) for n=1..53.

K. Soundararajan, Small gaps between prime numbers: the work of Goldston-Pintz-Yildirim, Bull. Amer. Math. Soc., 44 (2007), 1-18.

Index entries for primes, gaps between

MAPLE

d:=8; M:=1000; t0:=[]; for n from 1 to M do p:=ithprime(n); if nextprime(p) - p >= d then t0:=[op(t0), p]; fi; od: t0;

MATHEMATICA

Transpose[Select[Partition[Prime[Range[200]], 2, 1], Last[#]-First[#]>7&]][[1]] (* Harvey P. Dale, Jan 28 2013 *)

CROSSREFS

Sequence in context: A121608 A135144 A083371 * A257843 A155106 A132258

Adjacent sequences:  A124580 A124581 A124582 * A124584 A124585 A124586

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 19 2006

STATUS

approved

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Last modified April 6 22:23 EDT 2020. Contains 333291 sequences. (Running on oeis4.)