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%I A266512 #26 Dec 05 2023 12:05:13
%S A266512 2,3,47,5,18713,7,12003179,17,1480028129,13,1542186111157,
%T A266512 41280160361347,660287401247633,10421030292115097,3112462738414697093,
%U A266512 996689250471604163,258406392900394343851
%N A266512 Smallest prime starting a (nonsingular) symmetric n-tuplet of the shortest span (=A266511(n)).
%C A266512 A similar sequence that allows singular symmetric n-tuples is given in A266583.
%C A266512 a(18) <= 824871967574850703732309 (Jaroslaw Wroblewski)
%C A266512 a(20) <= 824871967574850703732303 (_Natalia Makarova_ and Jaroslaw Wroblewski)
%H A266512 N. Makarova and Carlos Rivera, <a href="http://www.primepuzzles.net/problems/prob_062.htm">Problem 62. Symmetric k-tuples of consecutive primes</a>, The Prime Puzzles & Problems Connection.
%H A266512 Natalia Makarova and Vladimir Chirkov, <a href="/A266512/a266512_1.txt">Theoretical patterns with a minimal diameter for a(2) - a(50)</a>
%F A266512 a(n) = A000040(A266584(n)).
%Y A266512 Cf. A055380, A065688, A175309, A266511, A266583, A266584.
%K A266512 nonn,more,hard
%O A266512 1,1
%A A266512 _Max Alekseyev_, Dec 30 2015
%E A266512 a(1)-a(10) from _Natalia Makarova_
%E A266512 a(11)-a(14), a(16) from _Dmitry Petukhov_
%E A266512 a(15), a(17) from Jaroslaw Wroblewski

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