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 A182423 #16 Jul 08 2018 01:33:38 %S A182423 0,2,0,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,3, %T A182423 0,1,0,3,0,0,0,0,0,2,2,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1, %U A182423 2,0,0,0,1,0,2,1,2,0,0,0,1,0,0 %N A182423 Number of primes in interval (A194598(n), A164368(n)). %C A182423 Theorem. If the sequence is unbounded, then there exist arbitrarily long sequences of consecutive primes p_k, p_(k+1),...,p_m such that every interval (p_i/2, p_(i+1)/2), i=k,k+1,...,m-1, contains a prime. %H A182423 V. Shevelev, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL15/Shevelev/shevelev19.html">Ramanujan and Labos primes, their generalizations, and classifications of primes</a>, J. Integer Seq. 15 (2012) Article 12.5.4. %Y A182423 Cf. A164368, A194598, A182405, A166251, A182426. %K A182423 nonn %O A182423 1,2 %A A182423 _Vladimir Shevelev_, Apr 28 2012