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%I #14 Apr 29 2019 03:18:40
%S 409,691,787,547,2053,139,4861,283,181,25087,337,709,2917,829,14197,
%T 919,3001,33589,2767,421,8221,1879,5179,1249,1471,10141,5011,20533,
%U 4483,54091,13249,4663,27883,5869,41443,8599,23311,9049,40699,82591
%N First primes of A031928 (lesser of 10-twins) with increasing distance to the next similar twin.
%C a(n) = p determines a prime quadruple [p, p+10, p+6n+6, p+6n+16] with difference pattern [10, 6n-4, 10].
%C The smallest distance between 10-twins [A052380(5)] is 12, while its increment is 6.
%F a(n) = p is the smallest of A031928 followed by the next 10- twin after a 6n+6 distance.
%e a(2)=691 results in [691,701,709,719] quadruple and [10,8,10] d-pattern without primes in the median gap;
%e a(10)=25087 yields [25087,25097,25153,25163] and [10,56,10] with 5 primes in the middle gap.
%Y Cf. A031928, A053323, A052380, A052381.
%K nonn
%O 1,1
%A _Labos Elemer_, Mar 07 2000
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