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 A129315 #9 Nov 12 2022 02:14:34 %S A129315 1,2,3,10,13,77,92,152,294,484,517,964,1203,2876,14118,34279,81191, %T A129315 103862,115370,195097,334816,347938,2126572,2787194,3034023,5707120, %U A129315 16513290,17861702,19454321,206814544,500017558,551865394,716440254,891826049,1383516280 %N A129315 Where records occur in A127356. %e A129315 The fifth record in A127356 is A129314(5) = 24 = A127356(13), hence a(5) = 13. %o A129315 (Python) %o A129315 from itertools import count, islice %o A129315 from sympy import isprime, nextprime, prime %o A129315 def agen(): %o A129315 pn = 2; record = 1; yield 1 %o A129315 for n in count(2): %o A129315 k, pn = 2, nextprime(pn) %o A129315 while not isprime(pn + k*k): k += 2 %o A129315 if k > record: record = k; yield n %o A129315 print(list(islice(agen(), 20))) # _Michael S. Branicky_, Nov 11 2022 %Y A129315 Cf. A127356, A129314 (records). %K A129315 nonn %O A129315 1,2 %A A129315 _Klaus Brockhaus_, Apr 09 2007 %E A129315 a(27)-a(33) from _Donovan Johnson_, Dec 09 2008 %E A129315 a(34)-a(35) from _Michael S. Branicky_, Nov 11 2022