cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A162866 Initial prime of exactly nine consecutive primes congruent to 3 modulo 4.

This page as a plain text file.
%I A162866 #10 Sep 01 2025 01:02:41
%S A162866 39607,278051,339863,341827,402371,519587,735211,919423,1123219,
%T A162866 1191643,1263239,1329763,1635547,1648919,1737863,1994119,2191687,
%U A162866 2465227,2566279,3025423,3101743,3197899,3306731,3719467,4259243,4466411,4498883,4591507,4680503,5031863
%N A162866 Initial prime of exactly nine consecutive primes congruent to 3 modulo 4.
%C A162866 The table provides all 8949 [=A092661(9)] terms less than 10^9.
%C A162866 If 10 or more consecutive primes are all congruent to 3 modulo 4, none of them is a member of this sequence. - _Harvey P. Dale_, Oct 23 2011
%H A162866 Rick L. Shepherd, <a href="/A162866/b162866.txt">Table of n, a(n) for n=1..8949</a>
%t A162866 m9Q[l_]:=Module[{ms=Mod[l,4]},First[ms]!=3&&Last[ms]!=3&&Union[ Take[ ms,{2,10}]]=={3}]; Transpose[Select[Partition[Prime[Range[ 320000]], 11,1],m9Q]][[2]] (* _Harvey P. Dale_, Oct 23 2011 *)
%Y A162866 Cf. A092661, A162865, A055624, A057619, A054678.
%K A162866 nonn,changed
%O A162866 1,1
%A A162866 _Rick L. Shepherd_, Jul 15 2009