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%I #23 Dec 17 2013 03:44:39
%S 6,6,6,6,12,6,18,12,6,24,18,12,6,18,12,42,30,12,54,24,60,30,24,36,78,
%T 18,42,132,42,24,24,60,24,72,24,36,30,6,12,30,30,120,6,36,72,30,30,18,
%U 6,60,210,66,84,30,96,24,84,6,210,78,18,228
%N Gap g between 3 consecutive primes for the smallest k such that 6^n+k, 6^n+k+g, 6^n+k+2*g are consecutive primes in arithmetic progression.
%C Sequence starts for n=2 as no solution for n=1.
%C g is a multiple of 6 as otherwise 6^n+k, 6^n+k+g, or 6^n+k+2*g is divisible by 2 or 3. - _Jonathan Sondow_, Dec 16 2013
%H Pierre CAMI, <a href="/A233550/b233550.txt">Table of n, a(n) for n = 2..350</a>
%F a(n) = 6*A233742(n). - _Jonathan Sondow_, Dec 16 2013
%e 6^2+11=47, 6^2+11+6=53, 6^2+11+2*6=59 are consecutive primes and k=11 is minimal, so a(2)=6. - _Jonathan Sondow_, Dec 16 2013
%o See A233546.
%Y Cf. A233546 (associated k), A233742.
%K nonn
%O 2,1
%A _Pierre CAMI_, Dec 16 2013
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