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.
%I A162865 #12 Sep 01 2025 01:03:05 %S A162865 11593,206953,315257,541097,906541,992393,1124993,1410361,1595081, %T A162865 1781569,1872049,2043329,2090353,2312749,2381657,2481509,2497289, %U A162865 2718389,2758109,2772409,2976397,3863473,3868849,4027957,4042673,4375141,4464841,4547581,4606153 %N A162865 Initial prime of exactly nine consecutive primes congruent to 1 modulo 4. %C A162865 The table provides all 8919 [=A092660(9)] terms less than 10^9. %C A162865 If 10 or more consecutive primes are all congruent to 1 modulo 4, none of them is a member of this sequence. - _Harvey P. Dale_, Oct 23 2011 %H A162865 Rick L. Shepherd, <a href="/A162865/b162865.txt">Table of n, a(n) for n=1..8919</a> %t A162865 m9Q[l_]:=Module[{ms=Mod[l,4]},First[ms]!=1&&Last[ms]!=1&&Union[Take[ ms,{2,10}]]=={1}]; Transpose[Select[Partition[ Prime[Range[ 290000]], 11,1],m9Q]][[2]] (* _Harvey P. Dale_, Oct 23 2011 *) %Y A162865 Cf. A092660, A162866, A055623, A057624, A054678. %K A162865 nonn,changed %O A162865 1,1 %A A162865 _Rick L. Shepherd_, Jul 15 2009