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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A215719 The smallest of four consecutive primes with prime gaps {a,b,c} = {10,18,2}.

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%I A215719 #24 Feb 23 2019 04:44:04
%S A215719 1249,14293,17929,31741,32089,33151,35869,57193,60859,64891,71443,
%T A215719 85303,87481,90793,93103,98533,99679,99961,108079,131221,135319,
%U A215719 139429,140731,144451,157639,165559,171439,175909,180043,186619,193153,203353,214531,217489
%N A215719 The smallest of four consecutive primes with prime gaps {a,b,c} = {10,18,2}.
%C A215719 Conjecture: The terms of any feasible prime gap triple {a,b,c} to form a quadruple of consecutive primes are sums of terms of three consecutive subsequences of the infinite integer sequence with period (4,2,4,2,4,6,2,6). By this token all possible sequences of quadruples of consecutive primes can be generated, including those already in the OEIS.
%H A215719 Robert Israel, <a href="/A215719/b215719.txt">Table of n, a(n) for n = 1..4147</a>
%e A215719 The terms of the prime gap triple {10,18,2} are the sums of the terms of the following (arbitrarily chosen) subsequences ..., {4,2,4}, {6,2,6,4}, {2}, ... For n=3, a(n) = 17929 is the smallest prime of the third prime quadruple {17929, 17939, 17957, 17959}.
%p A215719 N:= 10^6; # to get all terms <= 6*N
%p A215719 Primes1:= select(isprime,{seq(6*i+1,i=1..N+5)}):
%p A215719 Primes5:= select(isprime,{seq(6*i+5,i=1..N+5)}):
%p A215719 Q:= `intersect`(Primes1, map(t->t-10, Primes5), map(t->t-28,Primes5), map(t->t-30,Primes1):
%p A215719 A215719:= select(t -> select(isprime,{seq(t+2*i,i=1..13)}) = {t+10}, Q): # _Robert Israel_, May 04 2014
%Y A215719 Cf. A078858.
%K A215719 nonn
%O A215719 1,1
%A A215719 _V.J. Pohjola_, Aug 22 2012
%E A215719 Definition and comment corrected by _Robert Israel_, May 04 2014