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A124584 Primes p such that q-p >= 10, where q is the next prime after p. 2

%I #16 Mar 13 2020 16:46:04

%S 113,139,181,199,211,241,283,293,317,337,409,421,467,509,523,547,577,

%T 619,631,661,691,709,773,787,797,811,829,839,863,887,919,953,997,1021,

%U 1039,1051,1069,1129,1153,1171,1201,1237,1249,1259,1307,1327,1381,1399,1409

%N Primes p such that q-p >= 10, where q is the next prime after p.

%H Harvey P. Dale, <a href="/A124584/b124584.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[300]],2,1],Last[#]-First[#]>9&]][[1]] (* _Harvey P. Dale_, Jan 23 2013 *)

%K nonn

%O 1,1

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

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Last modified April 23 14:32 EDT 2024. Contains 371914 sequences. (Running on oeis4.)