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 A187810 #16 Feb 13 2013 23:58:29 %S A187810 31,7,3,3,3,3,2,17,17,2,17,2,107,59,71,107,101,179,197,431,179,521, %T A187810 431,431,809,179,599,641,809,2081,1061,827,1949,809,2801,2381,1481, %U A187810 1697,2087,1697,4127,2801,3929,4019,3329,4517,17597,5477,6761,13829,12239,5639 %N A187810 a(n) is the smallest prime(m) such that the interval (prime(m)*n, prime(m+1)*n) contains exactly three primes. %C A187810 Conjecture. In the supposition that there are infinitely many twin primes, every term beginning the fourth is 2 or in A001359 (lesser of twin primes). %H A187810 Alois P. Heinz, <a href="/A187810/b187810.txt">Table of n, a(n) for n = 2..100</a> %F A187810 lim a(n) = infinity, as n goes to infinity. %e A187810 Let n=9, and consider intervals of the form (9*prime(m), 9*prime(m+1)). %e A187810 For 2, 3, 5, ..., the intervals (18,27), (27,45), (45,63), (63,99), (99,117), (117,153), (153,171)... contain 2, 5, 4, 7, 5, 6, 3,... primes. Hence the smallest such prime is 17. %Y A187810 Cf. A195871, A187809. %K A187810 nonn %O A187810 2,1 %A A187810 _Vladimir Shevelev_ and _Peter J. C. Moses_, Jan 07 2013