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 A215719 The smallest of four consecutive primes with prime gaps {a,b,c} = {10,18,2}. 1
 1249, 14293, 17929, 31741, 32089, 33151, 35869, 57193, 60859, 64891, 71443, 85303, 87481, 90793, 93103, 98533, 99679, 99961, 108079, 131221, 135319, 139429, 140731, 144451, 157639, 165559, 171439, 175909, 180043, 186619, 193153, 203353, 214531, 217489 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Robert Israel, Table of n, a(n) for n = 1..4147 EXAMPLE 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}. MAPLE N:= 10^6; # to get all terms <= 6*N Primes1:= select(isprime, {seq(6*i+1, i=1..N+5)}): Primes5:= select(isprime, {seq(6*i+5, i=1..N+5)}): Q:= `intersect`(Primes1, map(t->t-10, Primes5), map(t->t-28, Primes5), map(t->t-30, Primes1): A215719:= select(t -> select(isprime, {seq(t+2*i, i=1..13)}) = {t+10}, Q): # Robert Israel, May 04 2014 CROSSREFS Cf. A078858. Sequence in context: A233222 A020384 A086709 * A120376 A231805 A122272 Adjacent sequences:  A215716 A215717 A215718 * A215720 A215721 A215722 KEYWORD nonn AUTHOR V.J. Pohjola, Aug 22 2012 EXTENSIONS Definition and comment corrected by Robert Israel, May 04 2014 STATUS approved

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Last modified April 3 13:53 EDT 2020. Contains 333197 sequences. (Running on oeis4.)