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 A082884 #8 Oct 15 2013 22:31:57
%S A082884 11,59,419,2999,22037,162821,1202627,8886329,65660051,485165279,
%T A082884 3584913989,26489122349,195729610331,1446257064389,10686474581831,
%U A082884 78962960185097,583461742527491,4311231547116551,31855931757115889
%N A082884 a(n) = smallest prime p for which (r-p)/log(p) < 1/n, where r is the next prime after p.
%C A082884 Remark: the quotient can be larger than 1/n at much larger primes, many times. So p does not set record in "standard" sense, only sinks first below 1/n, i.e. smaller than any previous values, but not necessarily smaller than the following ones. See also illustration.
%F A082884 a(n)=min{prime(j): A001223(j)/log(prime(j)) < 1/n}, where prime(j)=A000040(j) is the j-th prime.
%e A082884 a(1)=p(5)=11 and (13-11)/log(11) = 0.8340... < 1/1.
%t A082884 {eq=1, k=1}; Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s<1/k, k=k+1; Print[{k, n, Prime[n], s}]; eq=s], {n, 1, 100000000}]
%Y A082884 Cf. A082862, A082885, A082886, A082888-A082891.
%K A082884 nonn
%O A082884 1,1
%A A082884 _Labos Elemer_, Apr 17 2003
%E A082884 a(11)-a(19) from _Donovan Johnson_, Sep 09 2008