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A185941 First of a run of 4 or more consecutive primes which all equal 2 (mod 3). 3

%I

%S 251,1493,1889,1901,2393,2399,4373,4391,4451,4673,4679,5237,5351,5381,

%T 6311,7079,7103,7793,7817,7823,7883,8111,9203,9209,9467,9473,9833,

%U 10181,11393,11783,11789,12113,12641,12647,12653,12923,13103,13451,14741,15749

%N First of a run of 4 or more consecutive primes which all equal 2 (mod 3).

%C Subsequence of terms of A185938 such that A185938(k+1) = nextprime(A185938(k)).

%H G. C. Greubel, <a href="/A185941/b185941.txt">Table of n, a(n) for n = 1..5000</a>

%t pr6Q[l_]:=And@@(Mod[#,3]==2&/@l)

%t Transpose[Select[Partition[Prime[Range[2000]],4,1],pr6Q]][[1]] (* _Harvey P. Dale_, Feb 13 2011 *)

%o (PARI) s=Mod([1,1,1,1]*2,3);o=vector(#s);i=0;forprime(p=1,1e4,o[i++%#o+1]=p;o-s|print1(o[(i+1)%#o+1]","))

%Y Cf. A185938.

%K nonn

%O 1,1

%A _M. F. Hasler_, Feb 06 2011

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Last modified July 28 16:44 EDT 2021. Contains 346335 sequences. (Running on oeis4.)