%I #8 Nov 21 2013 12:48:47
%S 206191,245741,331141,369991,818341,976471,1589671,2091431,2210291,
%T 3790441,5194921,5272441,6873131,7109911,7641311,8393881,9153031,
%U 10315801,10598431,10640251,10997081,11439511,11568731,11657281
%N Primes p(k) such that p(k+1)=p(k)+6, p(k+2)=p(k+1)+6, p(k+3)=p(k+2)+6, p(k+4)=p(k+3)+12, p(k+5)=p(k+4)+12.
%C Give six consecutive primes with gaps 6,6,6,12,12 I found 242 primes like this in the first 22,000,000 primes greatest found is 412276981
%e 206191,206197,206203,206209,206221,206233 are consecutive primes with gaps 6,6,6,12,12
%t Transpose[Select[Partition[Prime[Range[800000]],6,1],Differences[#] == {6,6,6,12,12}&]][[1]] (* _Harvey P. Dale_, Jan 16 2012 *)
%K nonn
%O 1,1
%A _Pierre CAMI_, Mar 14 2006