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A124591 Primes p such that q-p <= 8, where q is the next prime after p. 1

%I #14 Mar 13 2020 16:46:22

%S 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,

%T 97,101,103,107,109,127,131,137,149,151,157,163,167,173,179,191,193,

%U 197,223,227,229,233,239,251,257,263,269,271,277,281,307,311,313,331,347,349,353

%N Primes p such that q-p <= 8, where q is the next prime after p.

%H Harvey P. Dale, <a href="/A124591/b124591.txt">Table of n, a(n) for n = 1..1000</a>

%H K. Soundararajan, <a href="https://doi.org/10.1090/S0273-0979-06-01142-6">Small gaps between prime numbers: the work of Goldston-Pintz-Yildirim</a>, Bull. Amer. Math. Soc., 44 (2007), 1-18.

%H <a href="/index/Pri#gaps">Index entries for primes, gaps between</a>

%t Transpose[Select[Partition[Prime[Range[200]],2,1],#[[2]]-#[[1]]<9&]][[1]] (* _Harvey P. Dale_, Jan 22 2013 *)

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Dec 19 2006

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Last modified April 23 15:11 EDT 2024. Contains 371914 sequences. (Running on oeis4.)