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A052359 First prime of A031938 (lesser of primes differing by 20) whose distance to the next 20-twin increases. 1

%I #20 May 01 2019 05:38:30

%S 46703,37223,65147,20369,63929,71999,11597,11027,99767,93503,5903,

%T 14087,115163,24821,104891,24923,11867,53381,65657,93581,99623,11447,

%U 18461,126761,32213,27653,72797,5717,154247,54449,27827,10223,56747,18617

%N First prime of A031938 (lesser of primes differing by 20) whose distance to the next 20-twin increases.

%C The smallest distance between 20-twins is 24 [= A052380(10)], while its minimal increment is 6.

%C a(n)=p starts [p,p+20,p+6n+18,p+6n+38] and [20,6n-2,20] patterns of primes and their difference.

%F a(n)=p is the smallest prime which starts a [p, p+20] twin followed by the next [p+6n+18, p+6n+18+20] twin.

%e n=1, a(1)=46703 results in [46703,46723,46727,46747] or [20,4,20];

%e n=11 a(11)=5903 yields [5903,5923,5987,6007] or [20,64,20] with 4 primes in the medial gap.

%Y Cf. A031938, A053331, A052380, A052381.

%K nonn

%O 1,1

%A _Labos Elemer_, Mar 07 2000

%E Offset changed to 1 by _Michel Marcus_, Apr 30 2019

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)