Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #12 Feb 24 2023 10:54:44
%S 251,1741,3301,3631,4051,5101,5281,5381,5531,6311,6361,6841,8641,9901,
%T 10861,11491,12451,12541,12641,13451,13591,14741,14891,15791,15901,
%U 16481,17471,18211,19471,22441,22811,23321,23761,24391,26171,26371,28921,29311,30091
%N Primes p such that four consecutive primes starting with p are congruent to {1,2,3,4} (mod 5).
%C Indices of primes: 54, 271, 464, 508, 559, 682, 701, 709, 732, 821, 829, 881, 1076, 1221, 1321, 1386, 1486, ....
%H Zak Seidov, <a href="/A215607/b215607.txt">Table of n, a(n) for n = 1..3000</a>
%e prime(54,55,56,57) = {251, 257, 263, 269} == {1,2,3,4} (mod 5).
%t nn = 4000; p = Partition[Prime[Range[nn]], 4, 1]; t = Select[p, Mod[#, 5] == {1, 2, 3, 4} &]; Transpose[t][[1]] (* _T. D. Noe_, Aug 17 2012 *)
%t Select[Partition[Prime[Range[4000]],4,1],Mod[#,5]=={1,2,3,4}&][[;;,1]] (* _Harvey P. Dale_, Feb 24 2023 *)
%Y Cf. A215599, A215662.
%K nonn
%O 1,1
%A _Zak Seidov_, Aug 17 2012