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%I #35 Jan 19 2019 14:15:26
%S 2,23,47,251,1741,1741,19471,118801,148531,148531,406951,1820111,
%T 2339041,19725473,19725473,73451737,232301497,400414121,489144599,
%U 489144599,766319189,766319189,21549657539,21549657539,21549657539,140432294381,140432294381,437339303279,1552841185921,1552841185921,1552841185921
%N First of n consecutive primes which differ by a multiple of 6.
%C See A276414 for the indices of these primes. - _M. F. Hasler_, Sep 02 2016
%C The sequence is infinite, by Shiu's theorem. - _Jonathan Sondow_, Jun 22 2017
%H Giovanni Resta, <a href="/A054679/b054679.txt">Table of n, a(n) for n = 1..35</a> (terms < 4*10^14) (corrected by Ray Chandler, Jan 19 2019)
%H J. K. Andersen, <a href="http://primerecords.dk/congruent-primes.htm">Consecutive Congruent Primes</a>.
%H D. K. L. Shiu, <a href="http://dx.doi.org/10.1112/S0024610799007863">Strings of Congruent Primes</a>, J. Lond. Math. Soc. 61 (2) (2000) 359-373 [<a href="http://www.ams.org/mathscinet-getitem?mr=1760689">MR1760689</a>]
%F a(n) = A000040(A276414(n)). - _M. F. Hasler_, Sep 02 2016
%F a(n) = min(A057620(n), A057621(n)) for all n >= 1. - _M. F. Hasler_, Sep 03 2016
%Y Cf. A054678, A054680; A276414.
%K nonn
%O 1,1
%A _Jeff Burch_, Apr 18 2000
%E More terms from Larry Reeves (larryr(AT)acm.org), Nov 09 2000
%E More terms from _Jens Kruse Andersen_, May 30 2006
%E Initial term and a(27)-a(31) added and name edited by _M. F. Hasler_, Sep 02 2016