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 A198319 #17 Feb 13 2013 23:58:29 %S A198319 113,139,23,19,37,7,19,13,67,43,3,3,3,5,11,59,5,17,59,107,17,29,71,2, %T A198319 2,2,239,101,191,2,2,41,227,137,179,239,419,281,149,179,227,137,1151, %U A198319 239,347,809,569,1091,1289,1427,191,827,1697,1721,1049,1049,3299 %N A198319 a(n) is the smallest prime(m) such that the interval (prime(m)*n, prime(m+1)*n) contains exactly six primes. %C A198319 Conjecture. In the supposition that there are infinitely many twin primes, every term beginning with the 12th is 2 or in A001359 (lesser of twin primes). %H A198319 Alois P. Heinz, <a href="/A198319/b198319.txt">Table of n, a(n) for n = 2..100</a> %F A198319 lim a(n) = infinity, as n goes to infinity. %e A198319 Let n=19, and consider intervals of the form (19*prime(m), 19*prime(m+1)). For 2, 3, 5, ..., the intervals (38,57), (57,95), (95,133), (133,209), (209,247), (247,323), (323,361)... contain 4, 8, 8, 14, 7, 13, 6,... primes. Hence the smallest such prime is 17. %Y A198319 Cf. A195871, A187809, A187810, A187812, A198195. %K A198319 nonn %O A198319 2,1 %A A198319 _Vladimir Shevelev_ and _Peter J. C. Moses_, Jan 07 2013