A215599 - OEIS

%I #7 Sep 10 2015 13:00:07

%S 61223,146609,756533,891997,901657,1532413,1988897,2168377,2563079,

%T 4086713,4593037,4815329,5088679,7009801,10973159,14185781,14427421,

%U 15895657,16100141,17178281,18258143,19014451,19164923,19474463,21175309,22033481,23834791,23946469

%N Primes p such that six consecutive primes starting with p are congruent to {1,2,3,4,5,6} (mod 7).

%C Indices of primes are  6162, 13559, 60723, 70703, 71398, 116434, 148157, 160516, 187349, 288894.

%H Zak Seidov, <a href="/A215599/b215599.txt">Table of n, a(n) for n = 1..200</a>

%e Prime(6162..6167) = {61223, 61231, 61253, 61261, 61283, 61291} == {1,2,3,4,5,6} (mod 7)

%t Transpose[Select[Partition[Prime[Range[1600000]],6,1],Mod[#,7] == Range[ 6]&]] [[1]] (* _Harvey P. Dale_, Sep 10 2015 *)

%K nonn

%O 1,1

%A _Zak Seidov_, Aug 16 2012