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 A214519 #7 Aug 06 2012 19:47:49
%S A214519 1,3,13,20,47,92,175,248,1695,1768,22685,41367,49532,178582,420452,
%T A214519 1940278,13957468,20258760
%N A214519 Least number m such that 4*m^2 + 1 is prime and the next prime of this form is 4*(m + A214518(n))^2 + 1.
%t A214519 n = 1; last = 1; t = {1}; t2 = {1}; While[Length[t] < 10, n++; p = 1 + 4 n^2; If[PrimeQ[p], If[n - last > t[[-1]], AppendTo[t, n - last]; AppendTo[t2, last]]; last = n]]; t2
%Y A214519 Cf. A121326 (primes of the form 1+4*n^2), A214517, A214518 (record differences).
%K A214519 nonn,hard,more
%O A214519 1,2
%A A214519 _T. D. Noe_, Aug 06 2012