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 A216924 #19 May 13 2013 01:54:22 %S A216924 5,17,113,197,461,881,1493,1801,39581,50593,78989,180797,183089, %T A216924 241601,250501,268297,339841,485209,492421,618637,919421,1264337, %U A216924 1561829,1637813,1994101,2116129,2191633,2243909,2314373,3254929,3422917,3440621,4468889,4855297,4874717,5059321,5526613,6118769,7856441,9199153 %N A216924 Consecutive Pythagorean primes p = A002144(r) and q = A002144(r+1) such that q - p > log(p)^2. The number a(n) is the n-th value of p. %H A216924 Charles R Greathouse IV, <a href="/A216924/b216924.txt">Table of n, a(n) for n = 1..10000</a> %t A216924 t = {}; p = 5; Do[While[q = p; While[p = NextPrime[p]; Mod[p, 4] == 3]; p - q < Log[q]^2]; AppendTo[t, q], {25}]; t (* _T. D. Noe_, Sep 21 2012 *) %o A216924 (PARI) r=1;v=List();p=5;forprime(q=11,1e7,if(q%4>1,next);if(q-p>r, r=log(p)^2\1; if(q-p>r,print1(p", ");listput(v,p)));p=q); Vec(v) \\ _Charles R Greathouse IV_, Sep 21 2012 %Y A216924 Cf. A182315, A002144 (Pythagorean primes). %K A216924 nonn %O A216924 1,1 %A A216924 _Thomas Ordowski_, Sep 20 2012 %E A216924 a(22)-a(40) from _Charles R Greathouse IV_, Sep 21 2012