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 A085516 #22 Jul 19 2025 14:29:44 %S A085516 1,2,3,4,5,6,7,8,9,10,12,11,13,15,14,16,18,20,17,22,19,21,25,23,24,27, %T A085516 26,28,29,30,31,32,35,33,34 %N A085516 Order of first occurrence of a sequence of exactly n consecutive primes of the form 6*k-1. %C A085516 This sequence gives the index of A055626(n) after sorting by increasing magnitude. %H A085516 J. K. Andersen, <a href="http://primerecords.dk/congruent-primes.htm">Consecutive Congruent Primes</a>. %H A085516 Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a085515.txt">Record producing runs of primes of the forms 6k+-1</a>. %H A085516 Hugo Pfoertner, <a href="http://www.enginemonitoring.net/math/isprim.txt">FORTRAN function ISPRIM to check primality</a>. %e A085516 a(2)=2, a(3)=3, a(4)=4 because the first occurrence of exactly 3 consecutive primes of the form 6*k-1 (47,53,59) follows the first occurrence of exactly 2 (23,29) and precedes the first occurrence of exactly 4 (251,257,263,269) primes of this form. %o A085516 (Fortran) ! Program given at link. %Y A085516 Cf. A055626, A085515 (sorted occurrence of first runs of "6k+1" primes). %K A085516 more,nonn %O A085516 1,2 %A A085516 _Hugo Pfoertner_, Jul 31 2003 %E A085516 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 27 2006 %E A085516 a(32)-a(35) from _Giovanni Resta_, Aug 04 2013